Quadratics

• Causes shift up and down

• -a

• Causes graph to open down. (reflection)

• h

• Causes shift left and right

• a

• Has no affect on transformation of the graph.

• k

• Changes the width of the graph. (Stretch/compress)

• y

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

How did we transform from f(x) =x²

to

g(x) = -3x²

• reflection in x-axis and vertical shift down

• reflection in x-axis and vertical stretch

• horizontal stretch

• reflection in x-axis and vertical compression

If the blue graph is

f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Tags

CCSS.HSA.REI.D.10

Does the graph of this equation widen or narrow from the parent function?
y=  5(x - 5)² + 3

• widen
• narrow
• neither

Does the quadratic have a max/min vertex, and does the graph open up/down?

• max/ opens down
• min/ opens up
• max/ opens up
• min/ opens down

Tags

CCSS.HSF-IF.C.7A

Find the equation of the parabola that has moved...

3 units up

Find the equation of the parabola that has...

moved 3 units to the left

moved 5 units up

Tags

CCSS.HSF-IF.C.7A

• Vertical compression (wider)

• Vertical stretch (narrower)

• Vertical compression (wider) and reflection over x-axis

• Vertical stretch (narrower) and reflection over x-axis