Free Printable Check for Understanding #2

1.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

2.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

3.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

4.

If f(x) = -4x - 5 and g(x) = 3 - x,

what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

5.

Given f(x) = 3x + 10 and g(x) = x - 2

Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

6.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

a)

-14

b)

20

c)

6

d)

7

7.

Given f(x)= x²+ 25 and g(x)= x - 5, find (f+g)(x).

a)

x²+ x - 20

b)

x²+ x + 20

c)

-x²+ x - 20

d)

x²- x - 20

8.

Which one is the same as fοg(x)

a)

g(f(x))

b)

f(g(x))

9.

f(x) = 3x + 10 and g(x) = x - 2

find (f∘g)(0)

(a)

10.

Given

f\left(x\right)=\left(x-3\right)^2+5

What are the transformations?

a)

Left 3 and up 5

b)

Left 3 and down 5

c)

Right 3 and down 5

d)

Right 3 and up 5

11.

Describe the transformations of f(x) when compared to the parent function.

f\left(x\right)=\left(x+7\right)^2

a)

Horizontal shift left 7

b)

Horizontal shift right 7

c)

Vertical shift up 7

d)

Vertical shift down 7

12.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x + 2 I +2

c)

f(x) = I x - 2 I +2

d)

f(x) = I x - 2 I

13.

Does the equation vertically stretch, compress, or reflect?

f\left(x\right)=0.75x^2

a)

Stretch by a factor of 2

b)

Compress by a factor of 0.75

c)

Reflect across the x-axis

d)

Both stretch by a factor of 2 and reflect across the x-axis

14.

Does the equation vertically stretch, compress, or reflect?
$f\left(x\right)=-x^2$

a)

Stretch by a factor of 2

b)

Compress by a factor of $-2$

c)

Reflect across the x-axis

d)

Both Compress by 2 and Reflect across the x-axis

15.

Does the equation vertically stretch, compress, or reflect?
$f\left(x\right)=-5x^2$

a)

Stretch by a factor of 5

b)

Compress by a factor of $\frac{5}{2}$

c)

Reflect across the x-axis

d)

Both Stretch by a factor of 5 & Reflect across the x-axis

Check for Understanding #2 - MA

Total questions: 15

Worksheet time: 20mins

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