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Illustrative Math Quadratics

Authored by Anthony Clark

Mathematics

7th Grade

CCSS covered

Illustrative Math Quadratics
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the general form of a quadratic function?

f(x) = a + bx + c

f(x) = ax^2 + b

f(x) = ax^2 + bx + c

f(x) = ax^3 + bx + c

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How can you determine the vertex of a quadratic function from its standard form?

Use the formula x = -b / (2a) to find the x-coordinate of the vertex, then substitute it back into the function to find the y-coordinate.

Substitute random values for x and y

Take the square root of the coefficient of x

Divide the coefficient of x by the constant term

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Explain the concept of maximum or minimum value in relation to quadratic functions.

The maximum value is always positive

The maximum or minimum value in relation to quadratic functions is the highest or lowest point on the graph, respectively, determined by the vertex of the parabola.

The maximum value is the x-intercept of the quadratic function

The minimum value is the y-intercept of the quadratic function

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How can you determine the direction of opening of a parabola based on the coefficient of x^2 in a quadratic function?

The direction of opening is determined by the coefficient of x^3

The direction of opening is always upwards regardless of the coefficient of x^2

The direction of opening is determined by the constant term in the quadratic function

The direction of opening of a parabola can be determined based on whether the coefficient of x^2 is positive or negative.

Tags

CCSS.HSF-IF.C.7A

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Explain how to graph a quadratic function in vertex form.

When graphing a quadratic function in vertex form, the axis of symmetry is not relevant.

Graphing a quadratic function in vertex form involves plotting the vertex, finding additional points using symmetry, and connecting the points to form a parabola.

To graph a quadratic function in vertex form, you only need to plot the vertex and draw a straight line.

Graphing a quadratic function in vertex form involves plotting the y-intercept and connecting the points to form a parabola.

Tags

CCSS.HSF-IF.C.7A

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the axis of symmetry of a quadratic function?

x = -b / (2a) * 2

x = -b / (2a) + 1

x = -b / (2a)

x = -b / (2a) - 1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How do you find the x-intercepts of a quadratic function?

Divide the y-intercept by the slope of the function.

Substitute the x-value of the vertex into the function.

Set the quadratic function equal to zero and solve for x.

Find the vertex of the parabola.

Tags

CCSS.HSF-IF.C.7A

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