Problema Solution
Given the function f(x)=-2(x-3)^2+11 complete the following. Please show all of your work.
If , what is ?
What point(s) from part (i) are on the graph of f?
List the x-intercepts, if any, of the graph of f.
List the y-intercept, if there is one, of the graph of f.
Answer provided by our tutors
y =f(x) = 2(x-3)^2 +11 = 2(x^2-6x +9) +11
y = 2x^2 -12x +18 +11 => 2x^2 -12x +29
x-intercepts when y = 0
i.e. 2x^2 -12x +29 = 0 No x intecepts is there
y-intercepts when x=0
y= 29 is the intercepts answer