Quadratic Transformations
2 years ago
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15 QuestionsShow answers
• Question 1
45 seconds
Q.

What is the vertex form of a quadratic function?

answer choices

f(x) = 2a(x-h)2 + k

f(x) = a(x-h)2 + k

f(x) = (x+h)2 + k

f(x) = a(x-h) - k

• Question 2
45 seconds
Q.

What is the axis of symmetry in a function?

answer choices

The transformation of the graph

The vertex, represented by (h,k)

A vertical line that passes through the vertex and divides the parabola in half

y = h

• Question 3
45 seconds
Q.

What is the axis of symmetry in the function f(x) = (x-1)2 +2

answer choices

x = 1

x = -1

x = 2

x = -2

• Question 4
45 seconds
Q.

Identify the vertex of f(x) = -2(x+1)2 + 3

answer choices

(h,k)

(3, 1)

(-1,-3)

(-1,3)

• Question 5
45 seconds
Q.

Identify the minimum and the domain of the function y = -2(x+1)2 + 4

answer choices

Max: 4, Domain: All Real Numbers

Min: -4, Domain: All Real Numbers

Max: 2, Domain: All real numbers when x is greater than 4

Min: -2, Domain: All real numbers when x is less than 4

• Question 6
30 seconds
Q.

Does the function y = (x+2)2 have a maximum or minimum?

answer choices

Maximum

Minimum

Both

Neither

• Question 7
30 seconds
Q.

Does the function y = -1/2(x+1)2 have a maximum or minimum?

answer choices

Maximum

Minimum

Both

Neither

• Question 8
45 seconds
Q.

What does the quadratic function that has a vertex of (3,4) look like?

answer choices

y = a(x+3)2 + 4

y = a(x-3)2 + 4

y = -a(x+3) - 4

y = a(x-3)2 - 4

• Question 9
60 seconds
Q.

What is the range of f(x) = 2(x+3)2 + 1?

answer choices

y ≥ 3

y ≥ 1

y ≤ 3

y ≤ 1

• Question 10
60 seconds
Q.

What is the range of f(x) = -9(x-4)2 + 3

answer choices

y ≤ 3

y ≤ - 9

y ≥ 3

y ≥ -4

• Question 11
120 seconds
Q.

What steps transform the graph y = x2 to y = 2(x+2)2 - 5?

answer choices

Compress by 2, shifted 2 units left and 5 down

Stretch by 5, shifted 5 units left and 2 down

Stretch by 2, shifted 2 units left and 5 down

Compress by 5, shifted 2 units left and 2 down

• Question 12
120 seconds
Q.

What steps transform the graph y = x2 to y = -1/2(x-4)2 + 1?

answer choices

Compressed by 1/2, shifted 4 units right and 1 unit up

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

Stretched by 1/2, shifted 4 units right and 1 unit down

• Question 13
45 seconds
Q.

Identify the vertex of f(x) = 5(x+6)2 - 7

answer choices

(5,6)

(0,0)

(6,-7)

(-6,-7)

• Question 14
45 seconds
Q.

What steps transform the graph y = x2 to y = x2 + 8

answer choices

shifted up 8 units

shifted down 8 units

shifted left 8 units

shifted right 8 units

• Question 15
45 seconds
Q.

What steps transform the graph y = x2 to y = (x-4)2

answer choices

Shifted down 4 units

Shifted left 4 units

Shifted right 4 units

Shifted up 4 units

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