Vertex form of a Quadratic Equation

Authored by Enrique Waldo

Mathematics

11th - 12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-1,4); point (1,0)

$f\left(x\right)=a\left(x-h\right)^2+k$

$f\left(x\right)=-\left(x+1\right)^2+4$

$f\left(x\right)=\left(x+1\right)^2+4$

$f\left(x\right)=-\left(x+4\right)^2+1$

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,-1); point (0,3)

$f\left(x\right)=a\left(x-h\right)^2+k$

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

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

$f\left(x\right)=-\left(x+5\right)^2+7$

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,-2); point (-3,0)

$f\left(x\right)=a\left(x-h\right)^2+k$

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

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

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

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (2,0); point (3,2)

$f\left(x\right)=a\left(x-h\right)^2+k$

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

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

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

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,5); point (0,9)

$f\left(x\right)=a\left(x-h\right)^2+k$

$f\left(x\right)=\left(x+5\right)^2+2$

$f\left(x\right)=\left(x-5\right)^2$

$f\left(x\right)=\left(x+2\right)^2-5$

$f\left(x\right)=\left(x+2\right)^2+5$

Tags

CCSS.HSF.BF.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (4,-1); point (2,3)

$f\left(x\right)=a\left(x-h\right)^2+k$

$f\left(x\right)=\left(x-4\right)^2-1$

$f\left(x\right)=\left(x-4\right)^2$

$f\left(x\right)=\left(x+1\right)^2-4$

$f\left(x\right)=\left(x+2\right)^2+3$

Tags

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (1,-2); point (-1,14)

$f\left(x\right)=a\left(x-h\right)^2+k$

$f\left(x\right)=-2\left(x-14\right)^2-1$

$f\left(x\right)=\left(x+14\right)^2$

$f\left(x\right)=4\left(x-1\right)^2-2$

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (2,3); point (0,2)

$f\left(x\right)=a\left(x-h\right)^2+k$

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

$f\left(x\right)=\frac{2}{7}\left(x-2\right)^2+3$

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

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (5,12); point (7,15)

$f\left(x\right)=a\left(x-h\right)^2+k$

$f\left(x\right)=\left(x-12\right)^2+15$

$f\left(x\right)=\frac{1}{3}\left(x-7\right)^2+15$

$f\left(x\right)=\left(x-7\right)^2+5$

$f\left(x\right)=\frac{3}{4}\left(x-5\right)^2+12$

Tags

CCSS.HSF.BF.A.1

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,-2); point (-1,1)

$f\left(x\right)=a\left(x-h\right)^2+k$

$f\left(x\right)=\left(x-2\right)^2+5$

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

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

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

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Vertex form of a Quadratic Equation

Write the vertex form of the equation that has the indicated vertex and passes through the given point.Vertex (-1,4); point (1,0) f(x)=a(x−h)2+kf\left(x\right)=a\left(x-h\right)^2+kf(x)=a(x−h)2+k

Write the vertex form of the equation that has the indicated vertex and passes through the given point.Vertex (-2,-1); point (0,3) f(x)=a(x−h)2+kf\left(x\right)=a\left(x-h\right)^2+kf(x)=a(x−h)2+k

Write the vertex form of the equation that has the indicated vertex and passes through the given point.Vertex (-2,-2); point (-3,0) f(x)=a(x−h)2+kf\left(x\right)=a\left(x-h\right)^2+kf(x)=a(x−h)2+k

Write the vertex form of the equation that has the indicated vertex and passes through the given point.Vertex (2,0); point (3,2) f(x)=a(x−h)2+kf\left(x\right)=a\left(x-h\right)^2+kf(x)=a(x−h)2+k

Write the vertex form of the equation that has the indicated vertex and passes through the given point.Vertex (-2,5); point (0,9) f(x)=a(x−h)2+kf\left(x\right)=a\left(x-h\right)^2+kf(x)=a(x−h)2+k

Write the vertex form of the equation that has the indicated vertex and passes through the given point.Vertex (4,-1); point (2,3) f(x)=a(x−h)2+kf\left(x\right)=a\left(x-h\right)^2+kf(x)=a(x−h)2+k

Write the vertex form of the equation that has the indicated vertex and passes through the given point.Vertex (1,-2); point (-1,14) f(x)=a(x−h)2+kf\left(x\right)=a\left(x-h\right)^2+kf(x)=a(x−h)2+k

Write the vertex form of the equation that has the indicated vertex and passes through the given point.Vertex (2,3); point (0,2) f(x)=a(x−h)2+kf\left(x\right)=a\left(x-h\right)^2+kf(x)=a(x−h)2+k

Write the vertex form of the equation that has the indicated vertex and passes through the given point.Vertex (5,12); point (7,15) f(x)=a(x−h)2+kf\left(x\right)=a\left(x-h\right)^2+kf(x)=a(x−h)2+k

Write the vertex form of the equation that has the indicated vertex and passes through the given point.Vertex (-2,-2); point (-1,1) f(x)=a(x−h)2+kf\left(x\right)=a\left(x-h\right)^2+kf(x)=a(x−h)2+k

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Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-1,4); point (1,0)

$f\left(x\right)=a\left(x-h\right)^2+k$

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,-1); point (0,3)

$f\left(x\right)=a\left(x-h\right)^2+k$

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,-2); point (-3,0)

$f\left(x\right)=a\left(x-h\right)^2+k$

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (2,0); point (3,2)

$f\left(x\right)=a\left(x-h\right)^2+k$

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,5); point (0,9)

$f\left(x\right)=a\left(x-h\right)^2+k$

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (4,-1); point (2,3)

$f\left(x\right)=a\left(x-h\right)^2+k$

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (1,-2); point (-1,14)

$f\left(x\right)=a\left(x-h\right)^2+k$

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (2,3); point (0,2)

$f\left(x\right)=a\left(x-h\right)^2+k$

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (5,12); point (7,15)

$f\left(x\right)=a\left(x-h\right)^2+k$

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,-2); point (-1,1)

$f\left(x\right)=a\left(x-h\right)^2+k$