Quadratic Functions - Review

What are the x-intercepts of a quadratic function?

• The points where the graph of the function crosses the y-axis.

• The points where the graph of the function crosses the x-axis, also known as the roots.

• The maximum or minimum points of the graph.

• The points where the graph has no real solutions.

What is the effect of changing the 'c' value in the standard form of a quadratic function?

• It shifts the graph left or right without affecting the shape.

• It shifts the graph up or down without affecting the shape.

• It changes the width of the parabola.

• It reflects the graph across the x-axis.

What is another word for zeros in a quadratic function?

• roots

• vertices

• coefficients

• factors

What is the vertex of the quadratic function f(x) = -3(x + 2)² + 5?

• (-2, 5)

• (2, -5)

• (0, 5)

• (-2, -5)

What form is the equation y = 2x² - 8x + 7 in?

• Standard

• Vertex

• Factored

• Quadratic

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

• It determines the coefficients of the equation.

• It indicates the number of solutions: two real roots, one real root, or no real roots.

• It provides the vertex of the parabola.

• It calculates the area under the curve.

How can you convert a quadratic function from standard form to vertex form?

• By completing the square.

• By factoring the quadratic expression.

• By using the quadratic formula.

• By graphing the function.

What is the axis of symmetry for the quadratic equation y = 4x² - 8x + 9?

• x = 0

• x = 1

• x = 2

• x = -1

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

• The height of the vertex of the parabola.

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

• The number of x-intercepts of the parabola.

• The color of the graph of the quadratic function.

What is the vertex of the quadratic function f(x) = 2(x - 5)² + 12?

• (5, 12)

• (5, 10)

• (0, 12)

• (2, 12)