Chapter 2: Quiz #1 (2.2 & 2.5)

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = |3x - 5| + 6; translation 4 units down

• g(x) = |3x - 5| +10

• g(x) = |3x - 9| + 6

• g(x) = |3x - 5| +2

• g(x) = |3x - 1|+ 6

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = |3x - 5| + 6; reflection in y -axis

• g(x) = |3x - 5| + 6

• g(x) = | 3x + 5| + 6

• g(x) = - |3x - 5| - 6

• g(x) = - |3x - 5| + 6

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = |3x - 5| + 6; vertical stretch by a factor of 4

• g(x) = |12x - 20| + 24

• g(x) = 4 |3x - 5| + 24

• g(x) = (1/4) |3x - 5| + (6/4)

• g(x) = |(3/4)x - 5| + 6

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = |x|: reflected in the x-axis, followed by a shift 2 units to the right and 3 units up

• g(x) = - |x - 3| + 2

• g(x) = |x - 2| + 3

• g(x) = - |x - 2| + 3

• g(x) = | -x + 2| + 3

If you start with the parent function f(x)= x², select the function that has the given transformations.

- Reflected over the x-axis

- Vertical stretch by a factor of 2

• A

• B

• C

• D

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Given the parent function y= x², select the function with the given transformations.

-vertical translation up 2

- horizontal translation left 4

• A

• B

• C

• D

What steps transform the graph  $y=x^2$    to  $y=\left(\frac{1}{2}x-2\right)^2-5$  ?

• Horizontal shrink by 2, shifted 2 units left and 5 down

• Vertical stretch by 5, shifted 5 units left and 2 down

• Horizontal stretch by 2, shifted 2 units right and 5 down

• vertical stretch by 5, shifted 2 units left and 2 down