(Alg.2) 4.3 Quadratics in Vertex and Intercept form.

Front

What is the equation for the axis of symmetry of a parabola?

Back

The axis of symmetry is given by the equation x = h, where h is the x-coordinate of the vertex.

Front

What point contains the minimum or maximum value of a parabola?

Back

The vertex of the parabola contains the minimum or maximum value.

Front

How do you determine the x-intercepts of a quadratic function from its graph?

Back

The x-intercepts are the points where the graph crosses the x-axis, represented as (x, 0).

Front

Back

The axis of symmetry is x = 5/2.

Front

Which equation represents the intercept form of a quadratic function?

Back

The intercept form is given by f(x) = a(x - p)(x - q), where p and q are the x-intercepts.

Front

What is the vertex form of a quadratic function?

Back

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

Front

How can you convert from vertex form to standard form?

Back

Expand f(x) = a(x - h)² + k to get f(x) = ax² - 2ahx + (ah² + k).

Front

What does the 'a' value in a quadratic function indicate?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What are the roots of a quadratic function?

Back

The roots are the values of x where the function equals zero, found by solving f(x) = 0.

Front

How do you find the y-intercept of a quadratic function?

Back

The y-intercept is found by evaluating f(0), which gives the point (0, f(0)).