Quadratic Functions Quiz

What is the process of converting a quadratic equation from standard form to vertex form?

• Using the quadratic formula.

• Factoring the equation.

• Simplifying the equation.

• Completing the square

How do you find the vertex of a parabola given its equation in standard form?

• Use the formula x = -b/2a to find the x-coordinate of the vertex and substitute it into the equation to find the y-coordinate.

• Use the formula x = b/2a to find the x-coordinate of the vertex and substitute it into the equation to find the y-coordinate.

• Use the formula x = -a/2b to find the x-coordinate of the vertex and substitute it into the equation to find the y-coordinate.

• Use the formula x = a/2b to find the x-coordinate of the vertex and substitute it into the equation to find the y-coordinate.

What is the formula for determining the axis of symmetry of a parabola?

• x = a/2b

• x = b/2a

• x = -a/2b

• x = -b/2a

How can you identify whether a parabola opens upward or downward based on its equation in vertex form?

• By checking the sign of the coefficient of the squared term in the vertex form equation.

• By checking the sign of the constant term in the vertex form equation.

• By calculating the discriminant of the quadratic equation.

• By analyzing the x-intercepts of the parabola.

Tags

CCSS.HSF-IF.C.7A

What are the steps to graph a quadratic function in vertex form?

• The steps to graph a quadratic function in vertex form are: identify the vertex, plot the vertex, determine the direction of the parabola, find the y-intercept, plot the y-intercept, use symmetry to plot additional points, and connect the points to form the graph.

• Identify the vertex, plot the vertex, determine the slope, find the x-intercept, plot the x-intercept, use symmetry to plot additional points, and connect the points to form the graph.

• Identify the vertex, plot the vertex, determine the direction of the parabola, find the x-intercept, plot the x-intercept, use symmetry to plot additional points, and connect the points to form the graph.

• Identify the vertex, plot the vertex, determine the direction of the parabola, find the y-intercept, plot the y-intercept, use the slope to plot additional points, and connect the points to form the graph.

Tags

CCSS.HSF-IF.C.7A

Convert the quadratic equation 2x^2 + 4x + 3 to vertex form.

• y = 2(x - 1)^2 + 5

• y = 2(x + 1)^2 + 3

• y = 2(x + 1)^2 + 1

• y = 2(x - 1)^2 + 3

Find the vertex of the parabola y = -x^2 + 6x - 9.

• (-3, 0)

• (6, 0)

• (3, 9)

• (3, 0)

Determine the axis of symmetry for the quadratic function y = 3x^2 - 2x + 1.

• 1/3

• 2

• -1/3

• 3

Identify whether the parabola y = 2(x-3)^2 + 5 opens upward or downward.

• sideways

• upward

• downward

• diagonal

Tags

CCSS.HSF-IF.C.7A

Graph the quadratic function y = -2(x+1)^2 + 4.

• The graph is a downward-opening parabola with vertex (-1, 4).

• The graph is an upward-opening parabola with vertex (-1, 4).

• The graph is a straight line with slope -2 and y-intercept 4.

• The graph is a parabola with vertex (1, -4).

Tags

CCSS.HSF-IF.C.7A