Graphing Quadratic Functions Assessment

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, found by evaluating f(0).

Front

Find the y-intercept of f(x) = 2x² - 2x + 1.

Back

(0, 1)

Front

What is the vertex of a quadratic function in vertex form?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex.

Front

Find the vertex of the function y = (x - 3)² + 5.

Back

(3, 5)

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax² + bx + c.

Front

Find the vertex of the quadratic y = -2x² + 4x + 3.

Back

(1, 5)

Front

What does the 'a' in the quadratic function y = ax² + bx + c represent?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

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 x = -b/(2a).

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

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