Quiz about Quadratic Functions Key Features and Graphing

Question 1

Fill in the blank: The _____ of a parabola is the highest or lowest point.

Accepted Answer

vertex

Answer

x-intercept

Answer

y-intercept

Answer

direction

Answer

axis of symmetry

Question 2

Graph $$y=-x^2+4x+5$$ . What is vertex?

Accepted Answer

(2, 9)

Answer

(-1, 0)

Answer

(5, 0)

Answer

(0, 5)

Answer

(-2, 1)

Question 3

Select ALL that apply. The x-intercepts are often called...

Accepted Answer

zeros

Accepted Answer

solutions

Accepted Answer

roots

Answer

maximums

Answer

minimums

Question 4

What is the y-intercept of $$y=x^2+4x+3$$ ?

Accepted Answer

(0,3)

Answer

(-1, 0)

Answer

(0,-3)

Answer

(-3,0)

Answer

(3,0)

Question 5

Quadratic equations take the shape of a _______ when graphed.

Accepted Answer

parabola

Answer

straight line

Answer

snaked line

Answer

elliptical

Question 6

Which graph best represents y = -x² + 6x - 1 ?

Accepted Answer

Question 7

What is the vertex of $$y=x^2+4x+3$$ ?

Accepted Answer

(-2, -1)

Answer

(0,3)

Answer

(-3,0)

Answer

(-1,0)

Answer

x=-2

Question 8

Determine the maximum or minimum value for the following quadratic: $$y=-x^2+2x-1$$

Accepted Answer

Max. at y=0

Answer

Min. at y=0

Answer

Min. at y=1

Answer

Max. at y=1

Question 9

Determine the maximum or minimum value for the following quadratic: $$y=x^2-6x+5$$

Accepted Answer

Min. at y=-4

Answer

Min. at y=3

Answer

Max. at y=3

Answer

Max. at y=-4

Question 10

Determine the line of symmetry for the following quadratic: $$y=x^2-2x+1$$

Accepted Answer

x=1

Answer

x=-2

Answer

x=-1

Answer

x=0

Answer

x=2

Question 11

Name the part of the parabola that is highlighted in YELLOW.

Accepted Answer

y-intercept

Answer

vertex

Answer

axis of symmetry

Answer

x-intercept(s)

Question 12

Use the table to graph the quadratic function: $$y=x^2-8x+7$$ . WHAT IS THE VERTEX?

Accepted Answer

(4, -9)

Answer

x=4

Answer

(0, 7)

Answer

(7, 0)

Answer

(1, 0)

Question 13

SELECT TWO: Find the x-intercepts of the quadratic function: $$y=-16x^2+48x$$ .

Accepted Answer

x=0

Accepted Answer

x=3

Answer

x=1

Answer

x=2

Answer

x=4

Question 14

What are the steps to graph a quadratic function?

Accepted Answer

Identify the vertex, axis of symmetry, and y-intercept; plot these points and use the symmetry of the parabola to plot additional points.

Answer

Find the x-intercepts and plot them on the graph

Answer

Use the quadratic formula to solve for the vertex and plot it on the graph

Answer

Connect the points with a straight line to form the parabola

Question 15

What are the key features of the graph of a quadratic function?

Accepted Answer

Vertex, axis of symmetry, direction of opening, and x-intercepts

Answer

Intercepts, slope, and area between the curve and x-axis

Answer

Exponential growth, asymptotes, and concavity

Answer

Y-intercept, slope, and area under the curve

Question 16

What is the relationship between the coefficient 'a' and the width of the parabola for a quadratic function?

Accepted Answer

The coefficient 'a' determines the width of the parabola.

Answer

The coefficient 'a' has no effect on the width of the parabola.

Answer

The width of the parabola is determined by the y-intercept, not the coefficient 'a'.

Answer

The width of the parabola is always the same regardless of the value of the coefficient 'a'.

Quadratic Functions Key Features and Graphing

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