NC.M1.IF-F-8a Practice Test

Front

What are the zeros of a function?

Back

The zeros of a function are the values of x for which the function equals zero. For example, in the function f(x) = x^2 - 4, the zeros are x = 2 and x = -2.

Front

Solve for x: x^2 - 49 = 0

Back

x = -7, x = 7

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. For the function f(x) = ax^2 + bx + c, the axis of symmetry is given by x = -b/(2a).

Front

Determine the domain of the function f(x) = x^2 - 4.

Back

Domain: All real numbers.

Front

Determine the range of the function f(x) = x^2 - 4.

Back

Range: All real numbers greater than or equal to -4.

Front

What shape is formed by the graph of a quadratic function?

Back

The shape is called a parabola.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the coefficient 'a' in a quadratic function determine?

Back

The coefficient 'a' determines the direction of the parabola's opening: if a > 0, it opens upwards; if a < 0, it opens 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 this value back into the function to find the y-coordinate.

Front

What is the quadratic formula?

Back

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