Three Quadratic Forms

Authored by Jonah Doster

Mathematics

8th - 9th Grade

CCSS covered

Used 109+ times

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10 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert the following function into intercept form:
$f\left(x\right)=x^2+4x-12$

$f\left(x\right)=\left(x+2\right)\left(x-6\right)$

$f\left(x\right)=\left(x+2\right)^2-16$

$f\left(x\right)=\left(x-2\right)\left(x+6\right)$

$f\left(x\right)=\left(x-2\right)^2-16$

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert the following function into vertex form: $f\left(x\right)=2\left(x-3\right)\left(x+1\right)$

$f\left(x\right)=2x^2-4x-6$

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

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

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert the following function into standard form: $f\left(x\right)=-\left(x+2\right)^2–5$

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

$f\left(x\right)=-\left(x-2\right)\left(x-9\right)$

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

$f\left(x\right)=-x^2-4x-9$

Tags

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert the following graph into intercept form:

$f\left(x\right)=2x^2+4x-6$

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

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

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

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert the following function into standard form: $f\left(x\right)=\ 3\left(x-2\right)^2+1$

$f\left(x\right)=\ 3x^2-12x+13$

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

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

$f\left(x\right)=3x^2-12x-11$

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert the following function into intercept form: $f\left(x\right)=\ -2\left(x-1\right)^2+8$

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

$f\left(x\right)=-2x^2+4x+6$

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

$f\left(x\right)=-2\left(x+1\right)\left(x+6\right)$

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert the following function into standard form: $f\left(x\right)=3\left(x-5\right)\left(x-1\right)$

$f\left(x\right)=-3\left(x+3\right)^2+12$

$f\left(x\right)=3\left(x-3\right)^2-12$

$f\left(x\right)=3x^2-18x+15$

$f\left(x\right)=x^2-6x+5$

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert the following graph into standard form:

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

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

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

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

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert the following function into vertex form: $f\left(x\right)=4\left(x-1\right)\left(x+5\right)$

$f\left(x\right)=\left(x+2\right)^2-36$

$f\left(x\right)=\ 4x^2+16x-20$

$f\left(x\right)=4\left(x-2\right)^2-36$

$f\left(x\right)=4\left(x+2\right)^2-36$

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Convert the following graph into vertex form:

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

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

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

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

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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Three Quadratic Forms

Convert the following function into intercept form: f(x)=x2+4x−12f\left(x\right)=x^2+4x-12f(x)=x2+4x−12

Convert the following function into vertex form: f(x)=2(x−3)(x+1)f\left(x\right)=2\left(x-3\right)\left(x+1\right)f(x)=2(x−3)(x+1)

Convert the following function into standard form: f(x)=−(x+2)2–5f\left(x\right)=-\left(x+2\right)^2–5f(x)=−(x+2)2–5

Convert the following graph into intercept form:

Convert the following function into standard form: f(x)= 3(x−2)2+1f\left(x\right)=\ 3\left(x-2\right)^2+1f(x)= 3(x−2)2+1

Convert the following function into intercept form: f(x)= −2(x−1)2+8f\left(x\right)=\ -2\left(x-1\right)^2+8f(x)= −2(x−1)2+8

Convert the following function into standard form: f(x)=3(x−5)(x−1)f\left(x\right)=3\left(x-5\right)\left(x-1\right)f(x)=3(x−5)(x−1)

Convert the following graph into standard form:

Convert the following function into vertex form: f(x)=4(x−1)(x+5)f\left(x\right)=4\left(x-1\right)\left(x+5\right)f(x)=4(x−1)(x+5)

Convert the following graph into vertex form:

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Convert the following function into intercept form:
$f\left(x\right)=x^2+4x-12$

Convert the following function into vertex form: $f\left(x\right)=2\left(x-3\right)\left(x+1\right)$

Convert the following function into standard form: $f\left(x\right)=-\left(x+2\right)^2–5$

Convert the following function into standard form: $f\left(x\right)=\ 3\left(x-2\right)^2+1$

Convert the following function into intercept form: $f\left(x\right)=\ -2\left(x-1\right)^2+8$

Convert the following function into standard form: $f\left(x\right)=3\left(x-5\right)\left(x-1\right)$

Convert the following function into vertex form: $f\left(x\right)=4\left(x-1\right)\left(x+5\right)$