Quadratic Equations in Vertex Form

Authored by Karen Quesenberry

Mathematics

7th - 12th Grade

CCSS covered

Used 99+ times

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22 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the equation $f\left(x\right)=\left(x-3\right)^{2\ }+1$ ,
determine the vertex and
whether it opens up or down.

(-3, 1); opens up

(-3, 1); opens down

(3, 1); opens up

(3, 1): opens down

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the equation $f\left(x\right)=-\left(x+5\right)^{2\ }-2$ ,
determine the vertex and
whether it opens up or down.

(-5, -2); opens up

(-5, -2); opens down

(5, -2); opens up

(5, -2): opens down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the equation $f\left(x\right)=\left(x+1\right)^{2\ }+6$ ,
determine the vertex and
whether it opens up or down.

(-1, 6); opens up

(-1, -6); opens down

(-1, -6); opens up

(1, -6): opens down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the equation $f\left(x\right)=-\left(x-7\right)^{2\ }-2$ ,
determine the vertex and
whether it opens up or down.

(-7, 2); opens up

(-7, -2); opens down

(7, 2); opens up

(7, -2): opens down

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the equation $f\left(x\right)=3\left(x+8\right)^{2\ }-5$ ,
determine the vertex and
whether it opens up or down.

(-3, -5); opens up

(-8, -5); opens down

(-8, -5); opens up

(3, -5): opens down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the equation $f\left(x\right)=-\frac{1}{2}\left(x-4\right)^{2\ }+1$ ,
determine the vertex and
whether it opens up or down.

(4, 1); opens up

(4, 1); opens down

(-1, 4); opens up

(-1, 4): opens down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the equation $f\left(x\right)=\left(x-4\right)^{2\ }+6$ ,
determine the equation of
the axis of symmetry.

$x\ =\ -6$

$x=-4$

$x=4$

$x=6$

Tags

CCSS.HSA.REI.B.4

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the equation $f\left(x\right)=-\left(x+3\right)^{2\ }-1$ ,
determine the equation of
the axis of symmetry.

$x\ =\ -3$

$x=-1$

$x=1$

$x=3$

Tags

CCSS.HSA.REI.B.4

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the equation $f\left(x\right)=3\left(x-4\right)^{2\ }-2$ ,
determine the equation of
the axis of symmetry.

$x\ =\ -4$

$x=-2$

$x=2$

$x=4$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given the equation $f\left(x\right)=\frac{3}{2}\left(x+1\right)^{2\ }-4$ ,
determine the equation of
the axis of symmetry.

$x\ =\ -4$

$x=-1$

$x=1$

$x=4$

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Quadratic Equations in Vertex Form

Given the equation f(x)=(x−3)2 +1f\left(x\right)=\left(x-3\right)^{2\ }+1f(x)=(x−3)2 +1 , determine the vertex and whether it opens up or down.

Given the equation f(x)=−(x+5)2 −2f\left(x\right)=-\left(x+5\right)^{2\ }-2f(x)=−(x+5)2 −2 , determine the vertex and whether it opens up or down.

Given the equation f(x)=(x+1)2 +6f\left(x\right)=\left(x+1\right)^{2\ }+6f(x)=(x+1)2 +6 , determine the vertex and whether it opens up or down.

Given the equation f(x)=−(x−7)2 −2f\left(x\right)=-\left(x-7\right)^{2\ }-2f(x)=−(x−7)2 −2 , determine the vertex and whether it opens up or down.

Given the equation f(x)=3(x+8)2 −5f\left(x\right)=3\left(x+8\right)^{2\ }-5f(x)=3(x+8)2 −5 , determine the vertex and whether it opens up or down.

Given the equation f(x)=−12(x−4)2 +1f\left(x\right)=-\frac{1}{2}\left(x-4\right)^{2\ }+1f(x)=−21​(x−4)2 +1 , determine the vertex and whether it opens up or down.

Given the equation f(x)=(x−4)2 +6f\left(x\right)=\left(x-4\right)^{2\ }+6f(x)=(x−4)2 +6 , determine the equation of the axis of symmetry.

Given the equation f(x)=−(x+3)2 −1f\left(x\right)=-\left(x+3\right)^{2\ }-1f(x)=−(x+3)2 −1 , determine the equation of the axis of symmetry.

Given the equation f(x)=3(x−4)2 −2f\left(x\right)=3\left(x-4\right)^{2\ }-2f(x)=3(x−4)2 −2 , determine the equation of the axis of symmetry.

Given the equation f(x)=32(x+1)2 −4f\left(x\right)=\frac{3}{2}\left(x+1\right)^{2\ }-4f(x)=23​(x+1)2 −4 , determine the equation of the axis of symmetry.

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Given the equation $f\left(x\right)=\left(x-3\right)^{2\ }+1$ ,
determine the vertex and
whether it opens up or down.

Given the equation $f\left(x\right)=-\left(x+5\right)^{2\ }-2$ ,
determine the vertex and
whether it opens up or down.

Given the equation $f\left(x\right)=\left(x+1\right)^{2\ }+6$ ,
determine the vertex and
whether it opens up or down.

Given the equation $f\left(x\right)=-\left(x-7\right)^{2\ }-2$ ,
determine the vertex and
whether it opens up or down.

Given the equation $f\left(x\right)=3\left(x+8\right)^{2\ }-5$ ,
determine the vertex and
whether it opens up or down.

Given the equation $f\left(x\right)=-\frac{1}{2}\left(x-4\right)^{2\ }+1$ ,
determine the vertex and
whether it opens up or down.

Given the equation $f\left(x\right)=\left(x-4\right)^{2\ }+6$ ,
determine the equation of
the axis of symmetry.

Given the equation $f\left(x\right)=-\left(x+3\right)^{2\ }-1$ ,
determine the equation of
the axis of symmetry.

Given the equation $f\left(x\right)=3\left(x-4\right)^{2\ }-2$ ,
determine the equation of
the axis of symmetry.

Given the equation $f\left(x\right)=\frac{3}{2}\left(x+1\right)^{2\ }-4$ ,
determine the equation of
the axis of symmetry.