SOLUTION: what is the x-intercepts when the vertex is (1,20) and y-intercept is (0,16)

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Question 739816: what is the x-intercepts when the vertex is (1,20) and y-intercept is (0,16)
Answer by MathLover1(20850) About Me  (Show Source):
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what is the x-intercepts when the vertex is (1,20) and y-intercept is (0,16)
With coordinates of vertex given, equation can be written as follows:
y=%28x-1%29%5E2-20
To find the x-intercepts, set y=0 and solve for x:
0=%28x-1%29%5E2-20
%28x-1%29%5E2=20 take sqrt of both sides
sqrt%28%28x-1%29%5E2%29=sqrt%2820%29

x-1=4.47
x=4.47%2B1
x=5.47
or
-%28x-1%29=4.47
-x%2B1=4.47=> -4.47%2B1=x
x=-3.47


+graph%28+600%2C+600%2C+-10%2C+10%2C+-30%2C+10%2C+%28x-1%29%5E2-20%29+