Solving Quadratics

Front

What is the Zero-Product Property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve using Zero-Product Property: (x-11)(5x+1) = 0

Back

x = 11 or x = -1/5

Front

What are the zeros of a quadratic function?

Back

The zeros are the x-values where the function equals zero.

Front

What are the zeros of the function y = x^2 - 4?

Back

x = 0 and x = 4

Front

What is vertex form of a quadratic equation?

Back

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

Front

Which equation represents vertex form?

Back

y = a(x - h)² + k

Front

Back

Front

Solve: 3x² - 192 = 0

Back

x = -8 or x = 8

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the 'a' in a quadratic equation determine?

Back

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