Graphing Quadratic Functions and Determining Zeros

This video tutorial teaches how to graph 2-degree polynomials and determine their zeros using tables of values. It covers substitution methods for evaluating polynomial functions and demonstrates graphing techniques for specific equations. The tutorial also explains how to solve for zeros algebraically and highlights common misunderstandings about zeros on graphs. By the end, viewers will understand how to graph polynomials and identify zeros accurately.

What is the primary focus of this lesson?

• Graphing linear equations

• Graphing 2-degree polynomials and finding zeros

• Solving quadratic equations

• Understanding linear functions

When substituting x = 1 into the function y = 2x^2 - 3x + 1, what is the value of y?

• 2

• 3

• 0

• 1

What is the result of substituting x = 2 into the function y = 2x^2 - 3x + 1?

• 1

• 5

• 7

• 3

Which x-value results in a zero for the function y = x^2 + 2x - 8?

• x = 1

• x = -2

• x = 0

• x = 2

What is a common misunderstanding about zeros in a table of values?

• Zeros are only at positive x-values

• Zeros must cross the x-axis

• Zeros must cross the y-axis

• Zeros are always at the origin

How do you find the zeros of the function f(x) = -2x^2 + 7 algebraically?

• Set f(x) to x^2 and solve

• Set f(x) to 7 and solve

• Set f(x) to 0 and solve

• Set f(x) to -2 and solve

What is the approximate value of the zeros for the function f(x) = -2x^2 + 7?

• ±1.87

• ±3.87

• ±2.87

• ±0.87