Free Printable Review 1(Parent Function, Data Regression and Transformation)

1.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

2.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

3.

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

a)

Left 3 up 5

b)

Right 3 down 5

c)

Left 3 down 5

d)

Right 3 up 5

4.

Which equation is a square root function reflected, vertically stretched by 3, shifted left 5 units and up 2 units?

a)

$f\left(x\right)\ =\ 3\sqrt[]{x+\ 5}\ -\ 2$

b)

$f\left(x\right)\ =\ -3\sqrt[]{x+\ 5}\ +\ 2$

c)

$f\left(x\right)\ =\ -\frac{1}{3}\sqrt[]{x+\ 5}\ +\ 2$

d)

$f\left(x\right)\ =\ -\sqrt[]{3x+\ 5}\ +\ 2$

5.

Describe the transformation of the equation below from the absolute value parent function. SELECT ALL THAT APPLY $y=\frac{1}{2}\left(x+3\right)^2-2$

a)

right 3

b)

left 3

c)

Down 2

d)

Vertically compressed by 1/2

e)

stretch by 2

6.

Which of these equations shifts a radical equation right 5 units and down one unit?

a)

$y=\sqrt{x-5}-1$

b)

$y=\sqrt{x+5}-1$

c)

$y=\sqrt{x-5}+1$

d)

$y=\sqrt{x+5}+1$

7.

Graph each function.

a)

b)

c)

d)

8.

What is the domain and range of the function y=2^x?

Use the graph to help!

a)

Domain: $\left(-\infty,\ \infty\right)$

Range: $\left(0,\ \infty\right)$

b)

Domain: $\left(-\infty,\ \infty\right)$

Range: $\left(1,\ \infty\right)$

c)

Domain: $\left(-\infty,\ -2\right)$

Range: $\left(0,\ \infty\right)$

d)

Domain: $\left(-\infty,\ \infty\right)$

Range: $\left(-\infty,0\right)$

9.

Identify the Domain of the graph depicted.

a)

0 ≤ x ≤ 180

b)

0 ≤ y ≤ 180

c)

0 ≤ x ≤ 1500

d)

0 ≤ y ≤ 1500

10.

Describe the transformation from the parent function to $g\left(x\right)\ =\ -2^{\left(x-3\right)}+5$

a)

reflected, vertically stretched by a factor of 2, shifted right 3 units, and down 5 units

b)

reflected, shifted right 3 units, and up 5 units

c)

reflected, vertically stretched by a factor of 2, shifted right 3 units, and up 5 units

d)

reflected, shifted left 3 units, and up 5 units

11.

For the graph, give the parent function and the transformations.

a)

Square root. Reflected and shifted down 7 units.

b)

Square root. Shifted down 7 units.

c)

Exponential. Reflected and shifted down 7 units.

d)

Exponential. Shifted down 7 units.

12.

Which quadratic would be the narrowest?

a)

$f\left(x\right)=\frac{1}{2}x^2$

b)

$f\left(x\right)=x^2$

c)

$f\left(x\right)=3x^2$

d)

$f\left(x\right)=5x^2$

13.

Give the domain of the graph

a)

$-2\le x<\infty$

b)

$-2\le y<\infty$

c)

$x\ st\ \left[-2,\ \infty\right]$

d)

$y\ st\ \left[-2,\ \infty\right]$

14.

What transformations occur in the following function?

a)

right 3, up 2

b)

left 3, up 2

c)

left 3, down 2

d)

right 3, down 2

15.

What is the range?

a)

(-∞, ∞)

b)

(0, ∞)

c)

[1, ∞)

d)

(1, ∞)

16.

What is the domain?

a)

(-∞, ∞)

b)

(0, ∞)

c)

[1, ∞)

d)

(1, ∞)

17.

What is the domain and range of the function y=2^x?
Use the graph to help!

a)

Domain: −∞<x<∞
Range: y>0

b)

Domain: −∞<x<∞
Range: y>1

c)

Domain: −2<x<∞
Range: y>0

d)

Domain: −∞<x<∞
Range: y>0

18.

Name the parent function and describe the transformation.

$f\left(x\right)\ =\ \frac{1}{2}\left(x-6\right)^3\ +\ 4$

a)

Quadratic function vertically compressed by 1/2, shifted right 6 and up 4

b)

Quadratic function vertically stretched by 2, shifted right 6 and up 4

c)

Cubic function vertically compressed by 1/2, shifted right 6 and up 4

d)

Quadratic function vertically stretched by 2, shifted right 6 and up 4

19.

Describe the transformation that is applied to the parent function. f(x) = 3 Ix+8I

a)

Stretches by 3, Shifts left 8

b)

Stretches by 3, Shifts right 8

c)

Stretches by 3, Shifts up 8

d)

Stretches by 3, Shifts down 8

20.

What is the equation to this graph?

a)

f(x)= Ix+2I +1

b)

f(x)= Ix-2I +1

c)

f(x)= Ix+2I -1

d)

f(x)= Ix-2I -1

21.

What is the parent function and the transformed equation for the graph shown?

a)

Parent: $f\left(x\right)\ =\ \sqrt[]{x}$

New Function:

$f\left(x\right)\ =\ \sqrt[]{x\ -\ 1}\ +\ 2$

b)

Parent: $f\left(x\right)\ =\ \left|x\right|$

New Function:

$f\left(x\right)\ =\ \left|x-\ 1\right|\ +\ 2$

c)

Parent: $f\left(x\right)\ =x^3$

New Function:

$f\left(x\right)\ =\ \left(x-1\right)^3\ +\ 2$

d)

Parent: $f\left(x\right)\ =\ \sqrt[]{x}$

New Function:

$f\left(x\right)\ =\ 4\sqrt[]{x\ +\ 1}\ +\ 2$

22.

Choose the equation that best matches the graphed function.

a)

$f(x)=|x|+2$

b)

$f(x)=|x|-2$

c)

$f(x)=-|x|$

d)

$f(x)=-|x|+2$

23.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

24.

Name the parent function and the transformation

a)

Cubic 4 units down

b)

Exponential 4 units down

c)

Cubic 4 units up

d)

Exponential 4 units up

25.

Describe the transformation(s) in the following function.

$f\left(x\right)=\frac{4}{5}\left|x+5\right|+2$

a)

Vertical stretch by a factor of $\frac{4}{5}$ ,

Shift left 5 units,

Shift down 2 units

b)

Vertical compression by a factor of $\frac{4}{5}$ ,

Shift right 5 units,

Shift up 2 units

c)

Vertical stretch by a factor of $\frac{4}{5}$ ,

Shift right 5 units,

Shift up 2 units

d)

Vertical compression by a factor of $\frac{4}{5}$ ,

Shift left 5 units,

Shift up 2 units

e)

Vertical compression by a factor of $\frac{4}{5}$ ,

Shift left 5 units,

Shift down 2 units

26.

Write the equation for the linear regression shown.

a)

$y=-5.11x+3.23$

b)

$r=0.8$

c)

$y=3.23x\ -\ 5.11$ $\$

d)

$y=0.64x+0.8$

27.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

28.

Find the equation of the Line of Best Fit from the data set.

a)

y = 0.892x - 1.82

b)

y = 1.82x - 5.02

c)

y = 0.796x + 5.02

d)

y = 1.82x + 5.02

Review 1(Parent Function, Data Regression and Transformation)

Total câu hỏi: 28

Worksheet time: 59mins

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