Given a quadratic function in vertex form:

f(x) = a(x - h) 2+ k

a. For what values of a does a VERTICAL STRETCH take place?

b. For what values of a does a VERTICAL COMPRESSION take
place?

c. How does a VERTICAL STRETCH compare to a HORIZONTAL
COMPRESSION?

d. For what values of a does a REFLECTION across the x-axis take
place?

Answer: A: √x+5

Step-by-step explanation:

The parent square root function is √x

Transformations to this graph come in the form y =√(x-h) +k, where h is responsible for left-right movements, and k is responsible for up down movements.

For the image, we can see that f(x) is simply the parent square root function, √x. To get h(x) from f(x), there is a translation of 5 units to the left, which can be algebraically represented by a value of h = -5. Putting this into our form, we get h(x) = √x+5, which is your answer :)

The function h(x) is after transformation is √(x + 5).

Option A is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The square root parent function is f(x) = √x, which starts from the point (0, 0) and increases as x increases.

To transform the parent function to h(x) starting from the point (-5, 0), we need to perform a horizontal translation of 5 units to the right.

This is because if we plug in x = -5 into the parent function,

We get f(-5) = √(-5), which is not a real number.

Therefore, we need to shift the function horizontally so that it starts from

x = -5.

The transformation of the square root parent function with a horizontal translation of 5 units to the right is given by the equation:

h(x) = √(x + 5)

This function starts from the point (-5, 0) and increases as x increases.

We can verify this by plugging in x = -5 to get h(-5) = √(0) = 0, which is the starting point of the function, and by observing that h(x) increases as x increases.

Thus,

The function h(x) is √(x + 5).

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Hello.

Let's find the multiplicative inverse of -100.

In order to do that, we need to write -100 as a fraction:

[tex]\bf{\displaystyle\frac{-100}{1}[/tex]

Now, in order to find the multiplicative inverse of -100, we should flop the fraction over:

[tex]\bf{\displaystyle\frac{1}{-100}[/tex]

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

Answer:

10

Step-by-step explanation:

Mr. Ford selects 5 people who tried out.

He then chooses 5 more people to assist with the show.

Together he has 5 + 5 = 10 people altogether.

Answer:

Diameter

Step-by-step explanation:

If it was from the middle to the edge it would be a radius,

but since it goes all the way across its a diameter.

Answer:

Step-by-step explanation:

3.Diameter.

[tex] \Large{\boxed{\sf Option \ A) \ Slope = -2 }} [/tex]

[tex] \\ [/tex]

To find the value of the slope of the line that passes through the points (5 , -11) and (-9 , 17), we will have to use the slope formula.

[tex] \\ [/tex]

[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope \ formula \text{:}} \\~ \\ \tt m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1}\end{array} \right] } [/tex]

Where m is the slope of the line.

[tex] \\ [/tex]

To apply the above formula, we first need to identify our values.

[tex] \sf (\underbrace{\sf 5}_{x_1} \ , \ \overbrace{\sf -11}^{y_1} ) \ \ and \ \ (\underbrace{\sf -9}_{x_2} \ , \ \overbrace{\sf 17}^{y_2} ) [/tex]

[tex] \\ [/tex]

Let's substitute these values into the formula:

[tex] \longrightarrow \sf m = \dfrac{17 - (-11)}{-9 - 5} \\ \\ \\ \longrightarrow \sf m = \dfrac{17 + 11}{-14} \\ \\ \\ \longrightarrow \sf m = \dfrac{28}{-14} \\ \\ \\ \longrightarrow \sf m = \dfrac{7 \cdot 4}{7 \cdot (-2)} \\ \\ \\ \longrightarrow \sf m = -\dfrac{4}{2} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf m = - 2}} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

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Gradient (m) of a Line :

[tex]\underbrace{\rm{ m = \dfrac{y_2 - y_1}{x_2-x_1}}}_{m}[/tex]

Substituting the known values ,

➱ [tex]\rm{m=\dfrac{17-(-11)}{-9-5}}[/tex]

➱ [tex]\rm{m=\dfrac{17+11}{-14}}[/tex]

➱ [tex]\rm{m=\dfrac{28}{-14}}[/tex]

➱ [tex]\rm{m=-2}[/tex]

Henceforth, Gradient = -2

Answer:

y=2x-5

y=-x+7

answer is (4,3)

Step-by-step explanation:

brainliest pls

Answer:

I would do it at your own pace. Find yourself a habit that helps you focus.

Step-by-step explanation:

For some people, like me, music helps me focus. For others, utter silence is best. I would suggest that if you finding a focal point does not help that you get a tutor. You can also come up with multiple ways to study like Quizlets, videos, flashcards, podcasts, depending on what type of learner you are!

To find the equation of line take any two points on graph,

Point A = (0,3) = (X1,Y1)

Point B = (3,0) = (X2,Y2)

Y intercept is = 3,

Now find the slope of line using two point formula,

[tex]Slope = \frac{Y2-Y1}{X2-X1} \\ \

Slope = \frac{3-0}{0-3} = -1[/tex]

Equation of the line in standard form is,

[tex]Y - Y1 = m(X - X1)[/tex]

where m is the slope of line!

Now substituting Y1, m, X in above equation!

[tex]Y - Y1 = m(X - X1) \\ Y - 3 \: = - 1(X - \: 0) \\ Y - 3 = - X \\

X + Y = 3 \\

Y = 3 - X[/tex]

The equation of line in Slope intercept form,

[tex]\fbox{Y = - X + 3}[/tex]

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volume: 113.1 and SA:138.23

Continue the given solution and solve for B and C :

[tex](s+1)\dfrac{s^2+1}{(s-1)(s+1)(s-2)} = (s+1)\left(-\dfrac1{s-1} + \dfrac B{s+1} + \dfrac C{s-2}\right)[/tex]

[tex]\dfrac{s^2+1}{(s-1)(s-2)} = -\dfrac{s+1}{s-1} + B + \dfrac{C(s+1)}{s-2}[/tex]

[tex]s=-1 \implies B = \dfrac13[/tex]

Similar steps lead to C = 5/3, and so

[tex]\dfrac{s^2+1}{(s-1)(s+1)(s-2)} = -\dfrac1{s-1} + \dfrac13\times\dfrac1{s+1} + \dfrac53\times\dfrac1{s-2}[/tex]

Now take the inverse transform of each term.

[tex]Y(s) = -\dfrac1{s-1} \implies y(t) = -e^t L^{-1}\left\{\dfrac1s\right\} = -e^t[/tex]

[tex]Y(s) = \dfrac13\times\dfrac1{s+1} \implies y(t) = \dfrac{e^{-t}}3 L^{-1}\left\{\dfrac1s\right\} = \dfrac{e^{-t}}3[/tex]

[tex]Y(s) = \dfrac53\times\dfrac1{s-2} \implies y(t) = \dfrac53e^{2t} L^{-1}\left\{\dfrac1s\right\} = \dfrac{5e^{2t}}3[/tex]

Then the inverse transform of F(s) is

[tex]F(s) = \dfrac{s^2+1}{(s-1)(s+1)(s-2)} \implies f(t) = -e^t + \dfrac{e^{-t}+5e^{2t}}3[/tex]

[tex]\implies f(t) = \boxed{\dfrac{5e^{3t} - 3e^{2t} + 1}{3e^t}}[/tex]

Answer:

13.333333...

Step-by-step explanation:

divide 20 by 3/2

Answer:

347

Step-by-step explanation:

This is Arithmetic Sequence where its common difference= 11-4 = 18-11 = 7

The Geometric Sequence General Formula = [tex]a_{n} =a_{1}+ d(n-1)[/tex]

where a1 is the 1st Term and d is the common difference

[tex]a_{50} =4+7*(50-1)=347[/tex]

Answer:

The answer is 8 pi

Step-by-step explanation:

The formula is radius squared times pi!

I hope this helped!!

Answer: L= 90-3 i hope this helps u :)

Answer:

[tex]\sf length = 8b+2[/tex]

Explanation:

Given:

using the formula:

[tex]\hookrightarrow \sf 64b^2 - 4 = length * (8b - 2)[/tex]

[tex]\hookrightarrow \sf \dfrac{64b^2 - 4 }{(8b - 2)} = length[/tex]

[tex]\hookrightarrow \sf length = 8b+2[/tex]

Answer:

A soda costed $3.50.

Step-by-step explanation:

Step 1) We know that a slice of pizza and a soda costs $9 (from Kate's order). With a burger added (Billy's order) it would cost $13.50.

So a burger would cost $4.50:

[tex]13.50-9=4.50[/tex]

Step 2) We also know a burger and a soda costs $8. So we subtract the cost of the burger from Louis' order to find the cost of the soda:

[tex]8-4.50=3.50[/tex]

Cost of soda: [tex]\$3.50[/tex]

Answer:

There are (14 - 8) daisies = 6 daisies

roses / daises = 8 / 6 = 4 / 3

flowers / daises = 14 / 6 = 7 / 3

Answer:

c

Step-by-step explanation:

it just is

Answer:

y=(-3/5)x + 5

Step-by-step explanation:

Looking at the graph, we can see two clear points; (0,5) and (5, 2). We know that the y-intercept is (0,5) so the b value of the standard form of a line, y=mx+b, is 5. Since we know two points, we can figure out the slope. So, the slope is (5-2)/(0-5) = 3/-5. Therefore the equation of this line is y=(-3/5)x+5. We can check this answer by plugging in points.

Answer:

x=[tex]\sqrt{\frac{7y+8}{5} }[/tex]

Step-by-step explanation:

Answer:

The Answer is B! 3√5 I hope this helped u

1. {1, 2, 3, 4, 5, 6}
2. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

3. {B1, B2, B3, R1, R2, R3, R4, R5, R6, R7, R8, G1, G2, G3, G4, Y1, Y2, Y3, Y4, Y5, Y6, Y7}
B for blue, R for red, G for green, Y for yellow.
4. {TT, TH, HT, HH}
T for tails and H for heads

Explanation:
sample space is all possible outcomes

1. ((--1, 2, 3, 4, 5, 6--))

2. ((--1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15--))

3. ((--B1, B2, B3, R1, R2, R3, R4, R5, R6, R7, R8, G1, G2, G3, G4, Y1, Y2, Y3, Y4, Y5, Y6, Y7--))

B for blue, R for red, G for green, Y for yellow.

4. ((--Tail tail, Tail Heads, heads tails, heads heads--))

Answer:

3rd option is correct

.........................................

Answer:

option c

Step-by-step explanation:

Linear equation in slope intercept form: y = mx +b

m is slope and b is y-intercept.

m = 5/6

[tex]y=\dfrac{5}{6}x+b\\[/tex]

The point P(-6 ,-2) passes through the line. So, plugin s and y values in the above equation.

[tex]-2=\dfrac{5}{6}*(-6)+b\\\\\\-2= -5 + b\\\\-2 + 5 = b\\[/tex]

b = 3

Equation of the line:

[tex]y=\dfrac{5}{6}x+3[/tex]

Answer:

There are 112 cans in each box.

Step-by-step explanation:

You divide 1008 by 9, so that gives you 112.

Hope it helps!

Answer:

0.50 cent per ounces

Step-by-step explanation:

0.50 cent per ounces

Answer: There are 16 houses

Step-by-step explanation: Why? Because of the fact that every house is 1/4 house and you can multiply that by every time 1/4x4 then 1/4x4 1/4x4 and 1/4x4 and you have 16 houses.

Answer:

9/8

27 divided by 3 = 9

24 divided by 3 = 8

I hope this helps!

The ratio in the simplest form of 27 to 24 is equal to 9:8 or 9/8.

When comparing two or more numbers, the phrase ratio is used in mathematics. When one quantity is related to another, it can be used to show how big or tiny it is. Division is used to compare two quantities in a ratio. The term "antecedent" in this context refers to the dividend, and "resultant" to the divisor.

From the given information in the question,

To find the simplest form, divide numerator and denominator with the same number.

Numerator = 27 feet

In simple form = 27/3 = 9

Denominator = 24 yards = 72 feet

In simple form = 72/3 = 24

= 9/24

= 3/8 is the simplest form.

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