7A-1 Practice

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis. For the function graphed, it is (0, 5).

Front

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

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror images. For the function graphed, it is x = 3.

Front

What is the maximum value of a quadratic function?

Back

The maximum value is the highest point on the graph of the function. For the function graphed, the maximum value is 6.

Front

What does it mean for a quadratic function to have exactly one root?

Back

A quadratic function has exactly one root when its graph touches the x-axis at one point, indicating a double root. This occurs when the axis of symmetry is at x = -4.

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero. For the graph, the positive zero is (1, 0).

Front

How do you find the vertex of a quadratic function?

Back

The vertex can be found using the formula x = -b/(2a) from the standard form of the quadratic equation y = ax^2 + bx + c.

Front

What is the standard form of a quadratic function?

Back

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

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the formula for the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of the quadratic equation.

Front

What does the discriminant tell us about a quadratic function?

Back

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