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How do you find the vertex and the intercepts for #f(x)=(x+3)^2#?

Answer 1

#y# intercept=(0,3)
#x# intercept and also vertex=(-3,0)

When you have a question like this, it is very easy to find the vertex of the curve. We know that the line has equal roots so the vertex is -3 by making (#x#+3)=0. This also gives you the #x# intercept.

To find the #y# intercept, make #x# equal zero. You get the equation:

#y#=#x#(0)+3 hence #y#=3

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Answer 2

Isaiah Anthony

To find the vertex of the function f(x) = (x + 3)^2, you can use the formula for the vertex of a parabola, which is (-b/2a, f(-b/2a)). In this case, a = 1 and b = 3.

To find the x-intercept, set f(x) = 0 and solve for x.

To find the y-intercept, plug in x = 0 into the function f(x).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.