Quadratic Features (vertex, axis, intercepts, min/max) Practice

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the quadratic function crosses the x-axis, found by setting f(x) = 0.

Front

What does it mean if a quadratic graph has a minimum value?

Back

A minimum value occurs at the vertex of the parabola when it opens upwards, indicating the lowest point on the graph.

Front

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

Back

The y-intercept is found by evaluating the function at x = 0.

Front

What is the y-intercept of the function f(x) = 2x² - 2x + 1?

Back

The y-intercept is 1.

Front

What is the y-intercept of the function y = 2x² - 8x + 9?

Back

The y-intercept is 9.

Front

How many solutions can a quadratic equation have?

Back

A quadratic equation can have two solutions, one solution, or no solutions depending on the discriminant.

Front

What is the vertex of a quadratic function?

Back

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

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

If the coefficient of x² is positive, it opens upwards; if negative, it opens downwards.

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 the formula x = -b/(2a).

Front

What is the formula to find the vertex of a quadratic function in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).