Question 775701: Please explain how to graph this parabola:
Y = (x-4)^2 - 3
Answer by swincher4391(1107)   (Show Source):
You can put this solution on YOUR website! This is in a form we call vertex form.
Y = (x-h)^2 + k where (h,k) is the vertex.
Given that, we know that the vertex is (4, -3)
If we can find out the two y-intercepts [or zeroes] we can connect the dots into a parabola and graph.
Solve for x.
y + 3 = (x-4)^2
+-sqrt(y+3) = x -4
+- sqrt(y+3) + 4 = x
Put y =0,
4 +- sqrt(3) = 2.3 and 6.7
So we have (2.3,0), (4,-3) (6.7,0)
Connect and we've got it.
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