Quadratic Functions and Graphing

This video tutorial explains how to graph a quadratic function in standard form. It covers identifying the vertex, axis of symmetry, and y-intercept, and demonstrates how to plot these on a graph. The tutorial also includes a verification step using graphing software to ensure accuracy.

What is the primary goal when graphing a quadratic function in standard form?

• To find the roots of the function

• To find the vertex, axis of symmetry, and y-intercept

• To determine the maximum value

• To calculate the derivative

If the coefficient 'A' in a quadratic function is negative, what is the direction of the parabola?

• It opens downwards

• It opens to the left

• It opens to the right

• It opens upwards

What are the coordinates of the vertex in a quadratic function?

• M, N

• H, K

• X, Y

• A, B

How do you find the y-intercept of a quadratic function?

• Set X to 0 and solve for Y

• Set Y to 0 and solve for X

• Calculate the derivative at X=0

• Find the midpoint of the vertex

What is the equation of the axis of symmetry for a quadratic function with vertex (H, K)?

• Y = K

• X = K

• Y = H

• X = H

What is the y-coordinate of the vertex if the function is given as y = -2(x + 1)^2 + 4?

• 4

• 0

• -1

• 1

What is the x-coordinate of the vertex for the function y = -2(x + 1)^2 + 4?

• 1

• -1

• 0

• 2

When graphing a parabola, what is the significance of the axis of symmetry?

• It determines the maximum value

• It divides the parabola into two symmetrical halves

• It indicates the y-intercept

• It shows the slope of the tangent

How can you find additional points on a parabola after plotting the vertex and y-intercept?

• By calculating the integral

• By using the quadratic formula

• By finding the derivative

• By using symmetry and evaluating the function at other X values

What is the purpose of verifying the graph using software?

• To determine the maximum value

• To ensure the graph is accurate

• To find the roots of the function

• To calculate the derivative