Test Review Quadratics

Front

What does h(10) = 0 signify in a quadratic function?

Back

It indicates that the value of the function h at x = 10 is zero, meaning (10, 0) is a point on the graph of the function where it intersects the x-axis.

Front

What is the value of h(2) if h(2) = 78.4?

Back

The value of h(2) is 78.4, which means that when x = 2, the output of the function h is 78.4.

Front

What does f(-5) = 3 mean in the context of a quadratic function?

Back

It means that when x = -5, the output of the function f is 3, indicating the point (-5, 3) is on the graph of the function.

Front

Define 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 and a ≠ 0.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on whether it opens upwards or downwards.

Front

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

Back

The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, and then substituting that value back into the function to find the y-coordinate.

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 equation x = -b/(2a).

Front

What does it mean if a quadratic function has no real roots?

Back

It means that the graph of the function does not intersect the x-axis, indicating that the discriminant (b² - 4ac) is less than zero.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the expression b² - 4ac in the quadratic formula, which determines the nature of the roots of the equation.