Question

How is the graph of y=2x^2+3 different from the graph of y=x^2-9x+20 shown below?

Answer 1

Answer:

○ The graph of y = -2x² + 3 opens downward and is shifted up.

Step-by-step explanation:

According to the Quadratic Equation, y = Ax² + Bx + C, C acts like a y-intercept, and in this case, since both graphs shift up [because both are positive values], we do not pay attention to those. Now, we come over to our A, which makes a BIG difference because both graphs open in opposite directions [one negative, one positive]. With this being stated, we have our answer.

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** Extended information on Parabolas

Opens down → -A

Opens up → A