Graphing Quadratic Functions

Which graph matches the function  $r\left(x\right)=2\left(x+3\right)^2-5$  ?

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Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the transformations of the function  $r\left(x\right)=2\left(x+3\right)^2-5$  compared to the quadratic parent function  $f\left(x\right)=x^2$  ?

•  vertical shrink by  $\frac{1}{2}$  , left 3, down 5.

• vertical stretch by 2, right 3, down 5.

• vertical reflection, left 3, down 5.

• vertical stretch by 2, left 3, down 5

Tags

CCSS.HSF.BF.B.3

Which graph matches the function $h\left(x\right)=-\frac{1}{3}x^2$  ?

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Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the transformations of the function $h\left(x\right)=-\frac{1}{3}x^2$   compared to the quadratic parent function   $f\left(x\right)=x^2$ ?

• vertical reflection, vertical stretch of 3
  

• vertical reflection, vertical shrink of  $\frac{1}{3}$  

• horizontal reflection, vertical shrink of  $\frac{1}{3}$  

• vertical shrink of  $\frac{1}{3}$  

Tags

CCSS.HSF.BF.B.3

Which of the following equations satisfies the given criteria: passing through (0, 0), (2, 2), (4, 0)?

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  $y=-\frac{1}{2}x^2+2x$
  

• $y=\frac{1}{2}x^2+2x$

• $y=-\frac{1}{6}x^2+\frac{2}{3}x$

• $y=\frac{1}{6}x^2+\frac{2}{3}x$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Which of the following equations satisfies the given criteria: x-intercepts : -5, 8?

• $y=x^2+13x+40$

• $y=x^2+3x-40$

• $y=x^2-3x-40$

• $y=x^2-13x+40$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

State the zeros of the function $g\left(x\right)=x^3-16x$ .

• x=16, x=0

• x=-4, x=4

• x=-4, x=0, x=4

• no real solutions

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

State the zeros of the function $f\left(x\right)=3x^2-6x-45$  .

• x=-3, x=3, x=5

• x=-3, x=5

• x=-5, x=3

• no real solutions

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Find the domain and range

• D: All Real Numbers, R: $\left\{-4\ge y\right\}$

• D: $\left\{-6\le x\le0\right\}$ , R: $\left\{-4\le y\le5\right\}$

• D: All Real Numbers, R: $\left\{-3\le y\right\}$

• D: All Real Numbers, R: $\left\{-4\le y\right\}$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

State the zeros.

• (-5, 0), (-3, -4)

• (-5, 0), (-1, 0)

• no real solutions

• (-1, 0), (-3, -4)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11