Mixed Transformations Quadratics

Describe the Transformation of the function; ​ (a)  

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Reflection over the X-Axis

• Vertical Shift DOWN

• Vertical Shift UP

Move the correct answer to each box. Not all answers will be used. ( (a)   , ​ (b)   )

• 3

• -9

• -3

• 0

• 9

Tags

AI.9.7.C

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• compress by 5, shifted 2 units left and 2 down

Find the Axis of Symmetry: y= -2x² + 8x -5

• x = -3

• x= 2

• x =4

• x = -2

Convert to Standard Form:

f(x) = (x+7)(x-3)

• f(x) = x² +10x +21

• f(x) = x² -10x -21

• f(x) = x² +4x -21

• f(x) = x² +4x +21

Tags

CCSS.HSA.APR.A.1

Convert to Factored Form:

f(x) = x²+3x-18

• f(x)=(x-6)(x+3)

• f(x)=(x+6)(x+3)

• f(x)=(x+6)(x-3)

• f(x)=(x-6)(x-3)

Convert from STANDARD TO VERTEX form:

If a parabola has a focus at (-3,0) and a vertex at the origin...what is the equation of the directrix?

• y=3

• y=-3

• x=3

• x=-3

Write an equation of the parabola with the given characteristics:

Focus: (3, 5)

Vertex: (3, -1)

Which transformations were applied to form the red graph from the blue graph?

• shrink, left 4, down 5

• stretch, left 4, down 5

• reflection, left 4, down 5

• reflection, shrink, left 4, down 5