2-1/2-2 Quadratic Functions

Describe the transformation of

 $f\left(x\right)=\left(x+7\right)^2$  

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

How has $f\left(x\right)=-2\left(x-3\right)^2+6$ been shifted from its original function?

• Flipped, Stretched by 2, Left 3, Up 6

• Flipped, Stretched by 2, Right 3, Up 6

• Left 2, Right 3, Up 6

• Down 2, Left 3, Up 6

The graph of $y=x^2$  is flipped and shifted right 5 and up 2.  What is the new function?  

•  $y=\left(x-5\right)^2+2$  

•  $y=-\left(x+5\right)^2+2$  

•  $y=\left(x+2\right)^2-5$  

•  $y=-\left(x-5\right)^2+2$  

Describe the transformation of y = 3(x - 3)² + 3

• Narrow, Right, Up
• Narrow, Left, Down
• Wide, Right, Up
• Wide, Left, Down

Tags

CCSS.HSF.BF.B.3

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

What is the vertex form for a vertex of (-3,-5) and when a=-2?

• y = -2(x-3)²+5
• y = -2(x+3)²+5
• y = -2(x+3)²-5

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

What is the DOMAIN of the function: $f\left(x\right)=\left(x+1\right)^2+1$  

•  $\left(-\infty,\ \infty\right)$  

•  $\left(-1,\ \infty\right)$  

•  $\left(1,\ \infty\right)$  

•  $\left(-\infty,\ -1\right)$  

What is the RANGE of

 $f\left(x\right)=-3\left(x-1\right)^2-8$  

•  $\left(1,\ \infty\right)$  

•  $\left(-8,\ \infty\right)$  

•  $\left(-\infty,\ 1\right)$  

•  $\left(-\infty,\ -8\right)$