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Parabolas & Quadratics Quiz

Authored by Denise DuVall

Mathematics

9th Grade

CCSS covered

Used 11+ times

Parabolas & Quadratics Quiz
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13 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Where is the axis of symmetry for this parabola?

x = −1

x = 0

y = 3

x = −3

Answer explanation

The axis of symmetry for the parabola is x = -1. This is the correct choice as it represents the line of symmetry for the parabola.

Tags

CCSS.HSF-IF.C.7A

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What is the green dot on the parabola called?

maximum

minumum

roots

zeros

Answer explanation

The green dot on the parabola is called the maximum point, as it represents the highest point on the curve.

Tags

CCSS.HSF-IF.C.7A

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Answer explanation

The vertex of a parabola in the form y=ax^2+bx+c is given by (-b/2a, f(-b/2a)), so for y=6x^2+17x+12, the vertex is (-17/(2*6), f(-17/(2*6))) = (-1.417, -0.042).

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Answer explanation

The axis of symmetry for a parabola in the form y = a(x-h)^2 + k is x = h. Therefore, the axis of symmetry for y = -\frac{1}{2}(x + 3)^2 + 7 is x = -3.

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

No x-intercepts

Answer explanation

The x-intercepts are the points where y = 0. By setting y = 0 in the equation, we get x = 1 and x = 3 as the x-intercepts.

Tags

CCSS.HSF-IF.C.7A

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Answer explanation

The y-intercept is the point where x=0. Substituting x=0 into the equation gives y=6, so the y-intercept is (0, 6).

Tags

CCSS.HSF-IF.C.7A

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

All real numbers

Answer explanation

The domain of a parabola is all real numbers, so the correct choice is 'All real numbers' as there are no restrictions on the values of x in the given equation.

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