Parabolas & Quadratics Quiz

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

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

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).

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.

• 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

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

• 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.

Answer explanation

The range of the parabola is all real numbers greater than or equal to -1, so the correct answer is y ≥ -1.

Tags

CCSS.HSF-IF.C.7A

Answer explanation

The axis of symmetry for a parabola in the form y = a(x-h)^2 + k is x = h. Therefore, for y = 2(x - 5)^2 - 3, the axis of symmetry is x = 5.

Answer explanation

The y-intercept is the point where x=0. Substituting x=0 into the equation gives y=-1. Therefore, the correct choice is (0, -1).

Tags

CCSS.HSF-IF.C.7A