Which of the following are characteristics of the graph of the quadratic parent function?Check all that apply.A.It is a parabola.B.It has a slope of 1.C.It goes through the origin.D.It is in quadrants I and II.SUBMITarrow_backPREVIOUS
Question
Which of the following are characteristics of the graph of the quadratic parent function?Check all that apply.A.It is a parabola.B.It has a slope of 1.C.It goes through the origin.D.It is in quadrants I and II.SUBMITarrow_backPREVIOUS
Solution
The characteristics of the graph of the quadratic parent function are:
A. It is a parabola. This is true. The graph of any quadratic function is a parabola.
B. It has a slope of 1. This is false. The slope of a quadratic function is not constant, it varies depending on the point on the graph.
C. It goes through the origin. This is true for the parent function y = x^2. The vertex of this parabola is at the origin (0,0).
D. It is in quadrants I and II. This is false. The graph of the parent function y = x^2 is in quadrants I and II only if x is positive. However, it also extends into quadrants II and IV when x is negative.
So, the correct answers are A and C.
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