Question

Find the coordinates of the three points on the graph of y = (1/2)x² -2x whose x-values are −2, 0, and 4.

Answer 1

y = 6

y = 0

y = 0

Explanation:

`y=(1)/(2)x² -2x`

When, x = -2

`y=(1)/(2)* (-2)^2-2*(-2)\\\Rightarrow y=(1)/(2)4+4\\\Rightarrow y=2+4\\\Rightarrow y=6`

y = 6

When, x = 0

`y=(1)/(2)* (0)^2-2*(0)\\\Rightarrow y=0+0\\\Rightarrow y=0`

y = 0

When, x = 4

`y=(1)/(2)* (4)^2-2*(4)\\\Rightarrow y=(1)/(2)16-8\\\Rightarrow y=8-8\\\Rightarrow y=0`

y = 0