4
QuizMultiple Choice

Function Notation — Unit test

Question 4 • CUSD Math 01 A (5.0)

When graphing y = 2x2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as closely as possible?

Answer
A
the x-axis from –20 to 5, and the y-axis from –80 to 80
B
the x-axis from –80 to 80, and the y-axis from –20 to 5
C
the x-axis from –5 to 20, and the y-axis from –80 to 80
D
the x-axis from –80 to 80, and the y-axis from –5 to 20

Explanation

The x-intercepts are at x = −15 and x = −2.5, and the vertex is at x = −8.75 with a minimum y-value of about −78. The y-intercept is 75. Window A, with x from −20 to 5 and y from −80 to 80, includes all of these points and keeps them in view closely.

AI-written and checked against the verified answer.

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