Quadratics Test Review

Sort the following quadratics based on what form they are written.

Groups:

(a) Vertex Form

,

(b) Factored Form

,

(c) Standard Form

• y = 3(x + 2)² - 3

• y = (x -5)² + 1

• (x + 6)(x - 9)

• 4x² - 7x - 10

• -2(x - 1)(x - 2)

• x² + 4x - 12

Match each form of a quadratic with what we use it to find.

• Y-intercept

• y = 2(x - 3)² + 2

• Vertex

• y = 2x² -12x + 20

• Zeros or X-intercepts

• y = 3(x + 3)(x - 2)

Match each form of a quadratic with what we use it to find.

• Zeros at (-3,0) and (2,0)

• y = 2x² -12x + 20

• Vertex at (3,2)

• y = 2(x - 3)² + 2

• Y-intercept at (0,20)

• y = 3(x + 3)(x - 2)

Match the equation with the characteristic you find in it.

• Vertex at (-7,-4)

• y = (x - 5)² - 1

• y-intercept at (0,15)

• y = x² + 8x + 15

• Vertex at (5,-1)

• y = (x - 10)(x + 2)

• Zeros at (-8,0) and (4,0)

• y = (x + 8)(x - 4)

• Zeros at (10,0) and (-2,0)

• y = (x + 7)² - 4

g(x) = - (x + 4)² - 3 is a transformation of f(x) = x² . Choose each transformation that was done.

• Stretch

• Reflection over x-axis

• Horizontal Shift of 4 units left

• Vertical Shift of 3 units down

• Vertical Shift of 4 units up

g(x) = 3(x - 4)² - 4 is a transformation of f(x) = x² . Choose each transformation that was done.

• Stretch

• Shrink

• Horizontal Shift of 4 units left

• Horizontal Shift of 4 units right

• Vertical Shift of 4 units down

g(x) is a transformation of f(x). The vertex of f(x) is (4,5) and the vertex of g(x) is (0,7). Name each transformation that was done.

• Horizontal Shift of 4 units right

• Horizontal Shift of 4 units left

• Vertical Shift of 2 units down

• Vertical Shift of 2 units up

y = - a (b)^{x - h} + k

• Vertical Shift up or down

• -

• Stretch or Shrink

• a

• Horizontal Shift left or right

• k

• Reflection over x-axis

• h

What is the average rate of change between x = 0 and x = 4?

x 0 1 2 3 4

y -3 0 3 9 27

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7