Question

Consider the graph of f(x) = 2/3(x-3)^2.

Select True or False for each statement about the graph.

A. The Vertex is (3,0). T/F

B. The minimum value is 0. T/F

C. The axis of symmetry is x = 2/3. T/F

I am learning about Graphing Quadratic Functions.

Answer 1

Explanation:

A. true

the formula of a parabola is

y = a(x – h)2 + k.

(h, k) is the vertex.

so, yes, in (2/3)×(x - 3)² the vertex is (3, 0).

B. true

as per A.

and with positive "a" it opens up upwards.

C. false

the axis of symmetry is x = 3.

the line that goes through the vertex.