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What is the y intercept of #y=3(x-11)^2#?

Answer 1

#(0,363)#

The #y# intercept is, by definition, the point in which the function crosses the #y# axis. All the points on the #y# axis can be written as #P = (0,y)#.

So, the #y# intercept of any function #f(x)# is simply the point #(0,f(0))#, assuming of course that #f# is defined at #x=0#.

In your case,

#f(x) = 3(x-11)^2 \implies f(0) = 3(0-11)^2 = 3\cdot 121 = 363#

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Answer 2

Savannah Anderson

To find the y-intercept of the equation ( y = 3(x - 11)^2 ), substitute ( x = 0 ) into the equation and solve for y. This gives us ( y = 3(0 - 11)^2 = 3(-11)^2 = 3(121) = 363 ). Therefore, the y-intercept is 363.

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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.