6.8 Comparing Quadratic Functions

6.8 Comparing Quadratic Functions

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Compare the minimum

• Graph both functions in Desmos

• Which minimum value is up higher?

• The function f(x)'s minimum of -1 is greater than g(x)'s minimum of -8

Multiple Choice

Which equation has a greater minimum value?

• f(x)

• g(x)

"Compare" Roots

• Graph both equations in desmos

• What are the x intercepts?

• The x intercepts for f(x) are {-5,-1} while the roots for g(x) are {0}

Fill in the Blanks

Compare the y-intercept

• Graph both equations in Desmos

• What are the y-intercepts?

• f(x)'s y intercept of (0,-18) is less than g(x)'s y intercept of (0,6)

Fill in the Blanks