Quadratic Functions Test

Front

Solve: 2x² + 7x - 15 = 0

Back

x = -5 or x = 1.5

Front

What is the vertex of the graph of y = 2x² + 3x - 5?

Back

(3, -1)

Front

What is the axis of symmetry of y = 3x² - 6x + 8?

Back

x = 1

Front

Describe the graph of y = -3x² + 7x - 2.

Back

Opens down with a maximum.

Front

Determine the value of the discriminant for x² + 2x - 63 and name the nature of the solution.

Back

256 - 2 reals - Rational

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

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 y.

Front

What does the discriminant tell you about the roots of a quadratic equation?

Back

If > 0: 2 real roots; = 0: 1 real root; < 0: 2 complex roots.

Front

What is the formula for the vertex of a parabola given in vertex form?

Back

y = a(x-h)² + k, where (h, k) is the vertex.

Front

What is the effect of the coefficient 'a' in the quadratic function y = ax² + bx + c?

Back

If a > 0, the parabola opens up; if a < 0, it opens down.