Question

7. Graph the following quadratic equation by first completing the square: y= −2x^2 + 6x + 7.

8. Find the Minimum or Maximum (state which it is) -value of the following quadratic equation by completing the square: y=2/3 x^2 + 5/4x - 1/3

Answer 1

Explanation:

`y=-2x^2+6x+7`

`=-2(x^2+(3)/(2) ^2)+7-(-(18)/(4))`

• To complete the square put (b/2)^2. 3/2^2 is then amplified by the -2 at the front. In total, you added -18/4 to the equation so you have to subtract -18/4.

=
`-2(x-(3)/(2))^2 +11 (1)/(2)`