Quadratic Transformations

Which describes the transformation of the graph of f(x) = x²  to the graph of  g(x) = -4x²

• Reflected, narrower

• reflected, wider

• shifted down 4 units

• shifted up 4 units

How is the graph of y = x² different from the graph of
y = 1/3x²?

• The graph of
  y = 1/3x² is shifted up.

• The graph of
  y = 1/3x² is shifted down.

• The graph of
  y = 1/3x² is wider.

• The graph of
  y = 1/3x² is narrower.

How does the graph of y = x ² - 7  compare to the parent function y = x²

• y = x ² - 7   is wider than  y = x²

• y = x ² - 7   is narrower than  
  y = x²

• y = x ² - 7   is shifted down 7 spaces from  y = x²

• y = x ² - 7   is shifted up 7 spaces from  y = x²

How do the graphs of the functions
f(x) = x² + 9 and
g(x) = x² – 11 relate to each other?

• The graph of f(x) is 2 units above the graph of g(x).

• The graph of f(x) is 20 units above the graph of g(x).

• The graph of f(x) is 2 units to the right the graph of g(x).

• The graph of f(x) is 20 units to the right the graph of g(x).

Q1. What is the effect of a vertical dilation on a function?

a

b

c

d

C) Horizontal Dilation

B) Horizontal Translation

A) Vertical Dilation

D) Vertical Translation

a

b

c

d

e

left

down

up

right

reflected

"a" causes the parabola to vertically ​ (a)   when a > 1.

• stretch

• compress

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a

b

c

d

"a" causes the parabola to vertically ​ (a)   when a < 1.

• compress

• stretch

Label how each number transforms the function

b

c

d

e

Left 3

Moves up 7

Reflected over the x-axis

Right 3

Stretched by a factor of 2