Unit 7 & 8 Review

Front

What is the equation of the line of symmetry for a quadratic function?

Back

The equation of the line of symmetry for a quadratic function in the form y = ax^2 + bx + c is given by x = -\frac{b}{2a}.

Front

Solve the quadratic equation: 2x^2 + 7x - 15 = 0

Back

The solutions are x = -5 and x = 1.5.

Front

What is another name for the x-intercepts of a quadratic function?

Back

The x-intercepts of a quadratic function are also called 'zeros'.

Front

Identify the coefficients a, b, and c in the quadratic equation: y = -x^2 + 2x - 9

Back

In this equation, a = -1, b = 2, and c = -9.

Front

Solve the equation by any method: x^2 + 10x = -9

Back

The solutions are x = -1 and x = -9.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the vertex of a quadratic function represent?

Back

The vertex of a quadratic function represents the maximum or minimum point of the parabola.

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts, set the quadratic equation equal to zero and solve for x.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by D = b^2 - 4ac and determines the nature of the roots.

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.