Q:

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

Accepted Solution

A:
Answer:β—‹ The graph of y = -2xΒ² + 3 opens downward and is shifted up.Step-by-step explanation:According to the Quadratic Equation, y = AxΒ² + 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.If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.** Extended information on ParabolasOpens down β†’ -AOpens up β†’ A