8.5 & 8.6 Solving Quadratics

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What are the solutions of the quadratic equation a² + 10a + 21 = 0?

Back

The solutions are -3 and -7.

Front

How do you solve a quadratic equation by graphing?

Back

You graph the equation and find the x-intercepts, which are the solutions of the equation.

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 does it mean to take square roots in solving equations?

Back

Taking square roots involves isolating the variable squared and then applying the square root to both sides of the equation.

Front

What are the solutions of the equation 5b² - 4 = 41?

Back

The solutions are b = 3 and b = -3.

Front

What is another term for the solutions of a quadratic equation?

Back

Roots.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.