Quadratic Transformations Change A and C

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

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

• stretch

• compress

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

a

b

c

d

Vertical Translation

Horizontal Translation

Horizontal Dilation

Vertical Dilation

• compress

• stretch

Label how each number transforms the function

b

c

d

e

Right 3

Moves up 7

Left 3

Stretched by a factor of 2

Reflected over the x-axis

• compress

• stretch