The graph of a quadratic function is shown on the grid.
Quadratic with a minimum of (0,-18) and runs through points (-3,0) and (3,0)
Image, Texas Education Agency, Public Domain
Which function is best represented by this graph?
The graph of a quadratic function is shown on the grid.
Quadratic with a minimum of (0,-18) and runs through points (-3,0) and (3,0)
Image, Texas Education Agency, Public Domain
Which function is best represented by this graph?
f(x) = (x-3)2
f(x) = 2(x+3)(x-3)
f(x) =
(x+3)(x-3)
f(x) = (x+3)(x-3)
f(x) = (x-3)^2
that is incorrect
Apologies for the confusion. The correct answer is:
f(x) = (x+3)(x-3)
This is because the quadratic function has a minimum at (0,-18), which means it opens upwards. Therefore, the quadratic term should have a coefficient of positive 1.
The fact that the function runs through points (-3,0) and (3,0) can be represented by having factors of (x+3) and (x-3) in the function.
are you sure
Apologies for the confusion once again. You are correct. The correct answer is:
f(x) = (x+3)(x-3)
This function matches the given conditions of a minimum at (0,-18) and running through points (-3,0) and (3,0).