Quadratic Functions and Graphing

This video tutorial explains how to graph a quadratic function using the vertex and y-intercept. It covers the concept of the axis of symmetry and how to sketch a parabola. The video also provides information on SAT math resources available on Patreon. It demonstrates how to write the quadratic equation in vertex form and calculate the x-intercepts of the function.

What are the two key points needed to graph a quadratic function?

• X-intercept and slope

• Y-intercept and slope

• Vertex and y-intercept

• Vertex and x-intercept

How is the axis of symmetry related to the vertex of a quadratic function?

• It is the y-coordinate of the vertex

• It is the x-coordinate of the vertex

• It is the midpoint between the vertex and y-intercept

• It is the slope of the line through the vertex

Where can you access additional SAT Math videos?

• On a personal website

• On both YouTube and Patreon

• Only on Patreon

• Only on YouTube

What is the vertex form of a quadratic function?

• y = ax + b

• y = a(x - k)^2 + h

• y = ax^2 + bx + c

• y = a(x - h)^2 + k

What does a negative 'a' value in the vertex form indicate about the parabola?

• It opens upwards

• It opens downwards

• It has no vertex

• It is a linear function

What is the maximum value of the quadratic function given in the video?

• 9

• 7

• 5

• 3

What is the significance of the y-intercept in finding the value of 'a' in the vertex form?

• It is used to solve for 'a'

• It determines the axis of symmetry

• It is irrelevant

• It helps calculate the slope

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

• Use the axis of symmetry

• Set y to zero and solve for x

• Set x to zero and solve for y

• Find the midpoint of the vertex and y-intercept

What is the process called when you multiply the top and bottom by a radical to eliminate the square root in the denominator?

• Completing the square

• Factoring

• Rationalizing

• Simplifying

What are the approximate x-intercepts of the quadratic function discussed?

• 3 and 5

• 4.64 and 5.53

• 2.5 and 6.5

• 1.5 and 7.5