Does the following quadratic equation have a maximum or minimum value? How can you tell? y=x ²+2x-3

Minimum value, because the a value is positive

Maximum value, because the b value is positive

Maximum value, because the a value is positive

Minimum value, because the c value is negative

What is the arrow pointing at? How can you use this value?

The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum

The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum

The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry

The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum

What is the range of this quadratic function?

( − ∞ , 4 ] \left(-\infty,4\right] ( − ∞ , 4 ]

[ 4 , ∞ ) \left[4,\infty\right) [ 4 , ∞ )

( − 1 , 5 ) \left(-1,5\right) ( − 1 , 5 )

On what interval(s) in the graph increasing?

( − 2 , ∞ ) \left(-2,\infty\right) ( − 2 , ∞ )

( − ∞ , − 2 ) \left(-\infty,-2\right) ( − ∞ , − 2 )

( − 3 , − 1 ) \left(-3,-1\right) ( − 3 , − 1 )

( − 1 , ∞ ) \left(-1,\infty\right) ( − 1 , ∞ )

One what interval(s) is the graph positive?

( 0 , 4 ) \left(0,4\right) ( 0 , 4 )

( − ∞ , 2 ) \left(-\infty,2\right) ( − ∞ , 2 )

( 2 , ∞ ) \left(2,\infty\right) ( 2 , ∞ )

( − ∞ , 0 ) ∪ ( 4 , ∞ ) \left(-\infty,0\right)\ \cup\ \left(4,\infty\right) ( − ∞ , 0 ) ∪ ( 4 , ∞ )

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Forms of Quadratics Review

Quiz

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Mathematics

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9th - 12th Grade

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Practice Problem

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Medium

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CCSS

HSF-IF.C.7A, HSF.IF.B.4, HSA.SSE.B.3

Standards-aligned

Used 58+ times

FREE Resource

25 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the vertex of
f(x) = 2(x - 5)² + 12

(-5, -12)

(5,-12)

(5, 12)

(-5, 12)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is another name for the x-intercepts of a quadratic?

y-intercept

Zeros

x-axis

They don't have another name

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the roots of the function
f(x)= (x - 2)(x + 3)?

x = - 2 or x = 3

x = 2 or x = -3

The are no real roots

x = 2 or x = 3

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the quadratic has a positive 'a' coefficient, what direction does the parabola open?

Down

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the y-intercept of
f(x)=2x² + 4x + 6

(6 , 0)

(-6 , 0)

(0, -6)

(0 , 6)

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the x-intercepts of
f(x)=(x - 10)(x + 10)

(10 , 0) and (-10 , 0)

(0, -10) and (0, 10)

Tags

CCSS.HSF-IF.C.7C

MULTIPLE CHOICE QUESTION

1 min • 1 pt

All Parabolas contain a vertex, when it opens up, this point is called a what?

Maximum

Minimum

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

True or False:
The domain of a quadratic is $\left(-\infty,\infty\right)$ .

False

True

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Forms of Quadratics Review

25 questions

What is the vertex of
f(x) = 2(x - 5)² + 12

What is another name for the x-intercepts of a quadratic?

What are the roots of the function
f(x)= (x - 2)(x + 3)?

If the quadratic has a positive 'a' coefficient, what direction does the parabola open?

What is the y-intercept of
f(x)=2x² + 4x + 6

What are the x-intercepts of
f(x)=(x - 10)(x + 10)

All Parabolas contain a vertex, when it opens up, this point is called a what?

True or False:
The domain of a quadratic is $\left(-\infty,\infty\right)$ .

Find the axis of symmetry for the function:
f(x) = 2x² - 4x - 6

What is the equation for the axis of symmetry of
f(x)= (x +1)² + 5

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Forms of Quadratics Review

25 questions

What is the vertex of f(x) = 2(x - 5)2 + 12

What is another name for the x-intercepts of a quadratic?

What are the roots of the functionf(x)= (x - 2)(x + 3)?

If the quadratic has a positive 'a' coefficient, what direction does the parabola open?

What is the y-intercept of f(x)=2x2 + 4x + 6

What are the x-intercepts of f(x)=(x - 10)(x + 10)

All Parabolas contain a vertex, when it opens up, this point is called a what?

True or False: The domain of a quadratic is (−∞,∞)\left(-\infty,\infty\right)(−∞,∞) .

Find the axis of symmetry for the function:f(x) = 2x2 - 4x - 6

What is the equation for the axis of symmetry of f(x)= (x +1)2 + 5

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is the vertex of
f(x) = 2(x - 5)² + 12

What are the roots of the function
f(x)= (x - 2)(x + 3)?

What is the y-intercept of
f(x)=2x² + 4x + 6

What are the x-intercepts of
f(x)=(x - 10)(x + 10)

True or False:
The domain of a quadratic is $\left(-\infty,\infty\right)$ .

Find the axis of symmetry for the function:
f(x) = 2x² - 4x - 6

What is the equation for the axis of symmetry of
f(x)= (x +1)² + 5