Question

The graph of y=-0.2x² is ? the graph of y=x².

There are options to answer this question.


Choose one of the best answers.


A. Narrower than and opens in the same direction as


B. Wider than and opens in the same direction as.


C. Narrower than and opens in the opposite direction of


D. Wider than and opens in the opposite direction of


Could you explain your answer?


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-Charlie

Answer 1

D

Explanation:

y = -0.2 x²

This has a negative sign, as opposed to y = x², so it will point in the opposite direction.

The leading coefficient (0.2) is less than 1. This means the parabola is shrunk vertically, or stretched horizontally. So the parabola is wider than y = x².