Quadratic Function Transformations

f

g

e

d

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

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

• compress

• stretch

Which equation best represents the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

What is the equation for the axis of symmetry of 
f(x)= (x +1)² + 5

• x = 1

• x = -1

• x = -5

• x = 5

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

Solve:
4x² = -4x -1

• x = -½

• x = -2

• x = 0

Tags

CCSS.HSA-REI.B.4B