Quiz about Characteristics of Quadratic Equations Worksheet

Question 1

Find the properties of the given quadratic function in the graph. x-intercepts: ____________

Accepted Answer

x-intercepts: (0,0) and (1,0)

Answer

x-intercepts: (2,0) and (3,0)

Answer

x-intercepts: (4,0) and (5,0)

Answer

x-intercepts: (6,0) and (7,0)

Question 2

Find the properties of the given quadratic function in the graph. y-intercept: ____________

Accepted Answer

y-intercept: 0

Answer

y-intercept: 1

Answer

y-intercept: 2

Answer

y-intercept: 3

Question 3

Find the properties of the given quadratic function in the graph. Vertex: ____________

Accepted Answer

Vertex: (1,-1)

Answer

Vertex: (1,1)

Answer

Vertex: (-1,-1)

Answer

Vertex: (2,2)

Question 4

Find the properties of the given quadratic function $$f\left(x\right)=-x^2+5$$ . Maximum value: ____________

Accepted Answer

Maximum value: 5

Answer

Maximum value: 10

Answer

Maximum value: 15

Answer

Maximum value: 20

Question 5

Find the properties of the given quadratic function in the graph. Axis of symmetry: ____________

Accepted Answer

Axis of symmetry: x = 1

Answer

Axis of symmetry: x = -1

Answer

Axis of symmetry: x = 0

Answer

Axis of symmetry: x = 2

Question 6

Find the properties of the given quadratic function in the graph. Open up or down: ____________

Accepted Answer

Open up

Answer

Open down

Answer

Neither

Answer

Cannot be determined

Question 7

What is the vertex of the function f(x) = $$-x^2 - 4x + 12$$ ?

Accepted Answer

(-2, 16)

Answer

(2, 16)

Answer

(2, -16)

Answer

(-2, -16)

Question 8

What is the vertex of the function y = $$(x - 2)^2$$ ?

Accepted Answer

(2, 0)

Answer

(0, 0)

Answer

(0, 2)

Answer

(2, 2)

Question 9

Determine the axis of symmetry for the function y = $$x^2 + 4x + 4$$ .

Accepted Answer

x = -2

Answer

x = 4

Answer

x = 0

Answer

x = 2

Question 10

What is the y-intercept of the function f(x) = $$3x^2 - 6x + 9$$ ?

Accepted Answer

y-intercept: 9

Answer

y-intercept: 0

Answer

y-intercept: 6

Answer

y-intercept: 3

Question 11

Find the x-intercepts of the quadratic function y = $$x^2 - 4x + 4$$ .

Accepted Answer

x-intercepts: (2,0) and (2,0)

Answer

x-intercepts: (1,0) and (3,0)

Answer

x-intercepts: (2,0)

Answer

x-intercepts: (0,0) and (4,0)

Question 12

Determine the vertex of the quadratic function y = $$x^2 + 6x + 9$$ .

Accepted Answer

(3, 0)

Answer

(3, 9)

Answer

(-3, 0)

Answer

(-3, -9)

Question 13

Find the axis of symmetry for the function f(x) = $$2x^2 - 8x + 6$$ .

Accepted Answer

x = 2

Answer

x = -4

Answer

x = -2

Answer

x = 4

Question 14

What is the axis of symmetry for the function y = $$3x^2 + 12x + 7$$ ?

Accepted Answer

x = -2

Answer

x = 3

Answer

x = 2

Answer

x = -3

Question 15

Determine the vertex of the quadratic function y = $$-2x^2 + 8x - 5$$ .

Accepted Answer

(2, 3)

Answer

(-2, 3)

Answer

(2, -3)

Answer

(-2, -3)

Question 16

Determine the x-intercepts of the quadratic function y = $$x^2 - 2x - 3$$ .

Accepted Answer

x-intercepts: (3,0) and (-1,0)

Answer

x-intercepts: (2,0) and (-3,0)

Answer

x-intercepts: (0,0) and (3,0)

Answer

x-intercepts: (1,0) and (3,0)

Characteristics of Quadratic Equations Worksheet

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