Algebra - Solving Quadratics

Front

What are the zeros of a quadratic function?

Back

The zeros of a quadratic function are the values of x for which the function equals zero. They are also known as the roots or x-intercepts.

Front

How many zeros can a quadratic function have?

Back

A quadratic function can have 0, 1, or 2 zeros.

Front

Solve for m: m² - 10m = 0

Back

m = 0 and m = 10.

Front

What are the roots of the function represented as {x|x = 4, -1}?

Back

The roots are x = 4 and x = -1.

Front

True or False: The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

Back

True.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does the vertex of a parabola represent?

Back

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

Front

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

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)).

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, given by x = -b/2a.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, b² - 4ac, which determines the number of real roots.