Quadratic Functions Test

Front

Solve the quadratic equation: x² + 13x + 12 = 0

Back

x = -1, x = -12

Front

What is the vertex of the graph of the quadratic function?

Back

(3, -1)

Front

Find the solutions of the quadratic function represented by the graph.

Back

-2 and 3

Front

Determine the axis of symmetry for the function f(x) = x² - 8x + 15.

Back

x = 4

Front

What are the coordinates of the y-intercept for the quadratic function?

Back

(0, -3)

Front

Define a quadratic function.

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the standard form of a quadratic function?

Back

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

Front

Explain the significance of the discriminant in a quadratic equation.

Back

The discriminant (D = b² - 4ac) determines the nature of the roots: D > 0 (two real roots), D = 0 (one real root), D < 0 (no real roots).

Front

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

Back

The vertex can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

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

Back

x = -b/(2a) where a and b are coefficients from the standard form ax² + bx + c.