Question

what is the graph of the absolute value equation?
y=-2|x|+5


please help I really suck at this stuff so explanations would be nice to try and help me get a hang of it

Answer 1

one way is try a few values for x

when x is 0, what is y ?
y = -2 * |0| + 5
first do the | | part, which does nothing to 0 (it would change a minus number to positive)
y = -2 * 0 + 5

now do multiply , then add
-2 times 0 is 0
y = 0 + 5

0 plus 5 is 5
we have the point (0,5)
plot that point

now try x= -1.. find the y
and x=1...
plot these points.