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 ]

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

[ 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 , ∞ )

Forms of Quadratics Review

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

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

+9

Standards-aligned

Used 58+ times

FREE Resource

25 questions

Show all answers

1.

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

2.

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

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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Up

Down

Tags

CCSS.HSF-IF.C.7A

5.

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

10

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

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

0

Tags

CCSS.HSF-IF.C.7C

7.

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

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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

Create a free account and access millions of resources

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

Create a free account and access millions of resources

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