Unit 7 Review (3/27/25)

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + 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 graph, depending on whether it opens upwards or downwards.

Front

How can you determine if a quadratic opens upwards or downwards?

Back

A quadratic opens upwards if the leading coefficient (a) is positive and downwards if it is negative.

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 are x-intercepts in a quadratic function?

Back

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

Front

What is the formula to find the x-intercepts of a quadratic function?

Back

The x-intercepts can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

What does it mean for a quadratic function to have a maximum value?

Back

A quadratic function has a maximum value when it opens downwards, indicating the highest point on the graph.

Front

What does it mean for a quadratic function to have a minimum value?

Back

A quadratic function has a minimum value when it opens upwards, indicating the lowest point on the graph.

Front

How do you find the vertex of a quadratic function?

Back

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