Algebra 2 Quiz On Parabolas

1. What are the coordinates of the vertex?

(4, -3)

(3, -4)

(2, 4)

(4, 2)

(4, -2)

The coordinates of the vertex can be determined by finding the midpoint between the x-coordinates and the y-coordinates of the given points. In this case, the midpoint between 4 and 2 is 3, and the midpoint between -3 and -2 is -4. Therefore, the coordinates of the vertex are (3, -4).

Explanation

The coordinates of the vertex can be determined by finding the midpoint between the x-coordinates and the y-coordinates of the given points. In this case, the midpoint between 4 and 2 is 3, and the midpoint between -3 and -2 is -4. Therefore, the coordinates of the vertex are (3, -4).

2. For the following quadratic function: y=2(x-3)²-4, what is the formula for the axis?

X=3

X=-3

Y=3

Y=-3

X=2

The formula for the axis of symmetry of a quadratic function in the form y = a(x-h)^2 + k is x = h. In this case, the quadratic function is y = 2(x-3)^2 - 4, so the formula for the axis of symmetry is x = 3.

Explanation

The formula for the axis of symmetry of a quadratic function in the form y = a(x-h)^2 + k is x = h. In this case, the quadratic function is y = 2(x-3)^2 - 4, so the formula for the axis of symmetry is x = 3.

3. The y-intercept is (0, _____).

The y-intercept is the point where a line or curve intersects the y-axis. In this case, the y-intercept is given as (0, 4), which means that the line or curve crosses the y-axis at the point (0, 4). This means that when x is 0, the corresponding y value is 4.

Explanation

The y-intercept is the point where a line or curve intersects the y-axis. In this case, the y-intercept is given as (0, 4), which means that the line or curve crosses the y-axis at the point (0, 4). This means that when x is 0, the corresponding y value is 4.

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