# Which quadratic inequality does the graph below represent?

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## Question:

Which quadratic inequality does the graph below represent?

A) y≤2x²-8x+3
B) y≥2x²=8x+3
C) y≤2x²-8x-3
D) y≥2x²-8x+3

The inequality y ≤ 2x² – 8x + 3 represents the given graph.

### What is Inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

The y-intercept is 3, not -3, so answer C is eliminated

Choose a point that is clearly in the shaded area or one that is clearly in the unshaded region

I choose the point (0, 0) and substituted these values in the equation and since 0 < 3, A is the correct answer

Thus, the inequality y ≤ 2x² – 8x + 3 represents the given graph.