We have been given a function formula
You are watching: Which graph represents the function f(x) = (x – 5)2 + 3?
We know that conventional develop of parabola is in format
Upon looking at our provided formula, we have the right to see that it represents an upward opening parabola as leading coeffective is positive. The vertex of our given parabola will be at suggest
Upon graphing our provided feature we will certainly gain our forced feature as shown in the attached image.
hammer <34>1 year ago
We are given that a function
The offered function is an equation of parabola alengthy y- axis.
General equation of parabola alengthy y- axis with vertex (h,k) is given by
Compare it with provided equation then we get
Vertex of given parabola =(5,3)
Substitute x=0 then we get
y-intercept of parabola is at (0,28).
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All you have to carry out is isolate y, no coefficients, making use of basic algebra.
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B have to be (2,3) and also D have to be (2, -4) bereason its just a reflection of the two points. :)