Question

Which function models the graph below?

X –axis 1 grid = 1 unit

Y –axis 1 grid = 1 unit

• A. y = (x + 4)²+ 2
• B. y = (x - 4)²+ 2
• C. y =(x + 2)²+ 4
• D. y =(x - 4)² - 2

Answer 1

The correct option is B

y = (x - 4)²+ 2

The graph is symmetric about x = 4

The given graph attains its minimum when x is 4 and when x is 4, y is 2

So, combining all these data the correct equation that describes the above graph is $(x-4{)}^2+2$