Solving Quadratics Review

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0

Front

What is the greatest number of solutions that a quadratic equation can have?

Back

2

Front

Solve by factoring: x² - 5x + 6 = 0

Back

x = 2, x = 3

Front

Factor: x² - 11x + 24

Back

(x - 3)(x - 8)

Front

What is the first step in solving the equation x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

It indicates the number and type of solutions: 0 solutions (negative), 1 solution (zero), 2 solutions (positive).

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you find the axis of symmetry for a quadratic equation?

Back

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

Front

What is the effect of the 'a' value in a quadratic equation?

Back

It determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.