SOLUTION: Hi there Can you help me graph with the problem below y=(x-4) to the second power -4 Also can you label the vertex and interprets Thank you

Algebra ->  Radicals -> SOLUTION: Hi there Can you help me graph with the problem below y=(x-4) to the second power -4 Also can you label the vertex and interprets Thank you       Log On


   



Question 1075276: Hi there
Can you help me graph with the problem below
y=(x-4) to the second power -4
Also can you label the vertex and interprets
Thank you

Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=(x-4)^2-4
This is moved down 4 and 4 units to the right, the vertex x value is what you get when you set x-4=0, or change the sign of -4 to +4. The y-value of the vertex is the constant without changing the sign.
(4,-4) is the vertex
Intercepts:
y intercept is when x=0, and that is (0,12)
x-intercept is when y=0, so (x-4)^2=4, x-4=+/-2; x=4+/-2, or (2, 0) and (6, 0)
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%28x-4%29%5E2-4%29

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=(x-4)^2-4
y=%28x-4%29%5E2-4
Already in standard form, so vertex is (4,-4) and if you set y=0 and solve for x, you find the x-axis intercepts; and leading coefficient positive, puts vertex as a minimum point.


graph%28300%2C300%2C-8%2C8%2C-8%2C8%2C%28x-4%29%5E2-4%29