Quadratic Function Review

Front

Solve 2x² + 7x - 15 = 0

Back

x = -5 or 1.5

Front

What is the vertex of the quadratic function?

Back

(3, -1)

Front

Describe the motion of a ball kicked from the ground based on its graph.

Back

The ball was kicked from the ground and it was in the air for 4 seconds.

Front

What is the equation for the axis of symmetry of a quadratic function?

Back

x = -3

Front

Convert the equation y = x² - 2x - 5 into vertex form.

Back

y = (x - 1)² - 6

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form y = ax² + bx + c.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic function determine?

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

Front

How do you find the vertex of a quadratic function in standard form?

Back

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

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real and distinct, one real and repeated, or no real roots.