Quadratics Dilations

What determines the direction of a parabola's opening?

• The value of b

• The value of c

• The sign of the coefficient a

• The value of the vertex

What is the discriminant of a quadratic equation?

• b² - 4ac

• a² - 4bc

• c² - 4ab

• a² + b² + c²

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

• compress

• stretch

a

b

c

d

Horizontal Dilation

Vertical Translation

Horizontal Translation

Vertical Dilation

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

• stretch

• compress

If the blue is f(x)=x^2, the red must be ​ ​ (a)  

Label how each number transforms the function

b

c

d

e

Moves up 7

Left 3

Stretched by a factor of 2

Right 3

Reflected over the x-axis

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

a

b

c

d

• Maximum

• Left 5

• Down 8

• vertical shrink

• Minimum

• Right 5

• Up 8

• Vertical Stretch

• No Vertical Shift