Math 3 Unit 5 Study Guide

Front

What is the Intercept Form of a quadratic equation?

Back

The Intercept Form of a quadratic equation is written as y = a(x - p)(x - q), where p and q are the x-intercepts.

Front

How do you convert a quadratic equation to Intercept Form?

Back

To convert to Intercept Form, factor the quadratic equation to find its x-intercepts.

Front

What is the Vertex Form of a quadratic equation?

Back

The Vertex Form of a quadratic equation is written as y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you convert a quadratic equation to Vertex Form?

Back

To convert to Vertex Form, complete the square on the quadratic equation.

Front

What does the 'a' in the quadratic equation y = ax² + bx + c represent?

Back

The 'a' represents the coefficient that determines the direction and width of the parabola.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the function crosses the x-axis.

Front

What is the process of graphing a quadratic function?

Back

To graph a quadratic function, find the vertex, x-intercepts, and y-intercept, then plot these points and draw the curve.

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph crosses the y-axis, found by evaluating the function at x = 0.

Front

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

Back

The vertex can be found using the formula h = -b/(2a) and k = f(h), where f(h) is the function evaluated at h.