Consider the graph of the function f(x) on the left and its transformed graph on the right. Which expression defines the transformation shown?

f ( x ) − 1 f\left(x\right)-1 f ( x ) − 1

f ( x ) + 1 f\left(x\right)+1 f ( x ) + 1

f ( x − 1 ) f\left(x-1\right) f ( x − 1 )

f ( x + 1 ) f\left(x+1\right) f ( x + 1 )

Consider the graph of the function f(x) on the left and its transformed graph on the right. Which expression defines the transformation shown?

f ( x + 2 ) f\left(x+2\right) f ( x + 2 )

f ( x ) − 2 f\left(x\right)-2 f ( x ) − 2

f ( x − 2 ) f\left(x-2\right) f ( x − 2 )

f ( x ) + 2 f\left(x\right)+2 f ( x ) + 2

Which equation could best be used to determine the value of f ( 3) for the function f(x ) = 2 x +4?

f ( 3 ) = 2 ( 3 ) + 4 f\left(3\right)=2\left(3\right)+4 f ( 3 ) = 2 ( 3 ) + 4

f ( 3 ) = 23 + 4 f\left(3\right)=23+4 f ( 3 ) = 2 3 + 4

f ( 3 ) = 3 ( 2 x ) + 4 f\left(3\right)=3\left(2x\right)+4 f ( 3 ) = 3 ( 2 x ) + 4

f ( 3 ) = 3 ( 3 x + 4 ) f\left(3\right)=3\left(3x+4\right) f ( 3 ) = 3 ( 3 x + 4 )

50 \sqrt{50} 5 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

5 2 5\sqrt{2} 5 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

5 \sqrt{5} 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 5 2\sqrt{5} 2 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

25 2 25\sqrt{2} 2 5 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

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

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Practice Problem

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Hard

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CCSS

HSA.REI.D.12, HSF-IF.C.7A, HSF.IF.A.2

+12

Standards-aligned

Jessica Stewart

Used 3+ times

FREE Resource

54 questions

Show all answers

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the vertex of this parabola?

(0, 5)

(2, 1)

(-1, 2)

(-2, 1)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

This graph matches which inequality?

y > 3

y ≥ 3

x≥3

x>3

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given the system, determine a solution.

No solution

Infinite solutions

(-5, 5)

(5, -5)

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given the graph, determine which is NOT a solution.

(0, 0)

(2, -1)

(-2, -2)

(-5, 1)

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the ordered pair that IS a solution.

(2, 2)

(2, 4)

(3, 2)

(-3, 2)

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor
d² - 10d + 25

(d + 5) (d - 5)

(d - 15) (d + 10)

(d + 5) (d - 20)

(d - 5) (d - 5)

Tags

CCSS.HSA.APR.C.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor completely:
3x² + 5x - 12

(3x + 4)(x-3)

(3x - 4)(x + 3)

(3x + 3)(x -4)

(3x - 3)(x + 4)

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Algebra EOC last Review

54 questions

What is the vertex of this parabola?

This graph matches which inequality?

Given the system, determine a solution.

Given the graph, determine which is NOT a solution.

Determine the ordered pair that IS a solution.

Factord2 - 10d + 25

Factor completely: 3x² + 5x - 12

Consider the graph of the function f(x) on the left and its transformed graph on the right.Which expression defines the transformation shown?

Consider the graph of the function f(x) on the left and its transformed graph on the right.Which expression defines the transformation shown?

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Discover more resources for Mathematics

Factor
d² - 10d + 25

Factor completely:
3x² + 5x - 12

Consider the graph of the function f(x) on the left and its transformed graph on the right.
Which expression defines the transformation shown?

Consider the graph of the function f(x) on the left and its transformed graph on the right.
Which expression defines the transformation shown?