Which of the following graphs represents the quadratic function f(x)=(x-3)^2+5
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the function:
f(x) = (x - 3)^2 + 5
Determine the graph that represent this function.
Solution:
Since we cannot directly illustrate the graph in the function, we simply can describe it. To do so, we must first equate x - 3 to 0 then solve for x.
x - 3 = 0
Transpose -3 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
x = 3
The graph intersects the point x= 3, although since we have + 5 added to the function, this means that the graph extend to x = 8