Question

Which vertex will result in minimum value of the function T=x-2?A. 3,-2B. -2,3C. -3,-2D. 2,-3

Answer 1

Since the given function is

`T=x-2y`

We will substitute each point in the equation, then find the smallest answer

For point (3, -2)

x = 3, y = -2

`\begin{gathered} T=3-2(-2) \\ T=3+4 \\ T=7 \end{gathered}`

For point (-2, 3)

x = -2, y = 3

`\begin{gathered} T=-2-2(3) \\ T=-2-6 \\ T=-8 \end{gathered}`

For point (-3, -2)

x = -3, y = -2

`\begin{gathered} T=-3-2(-2) \\ T=-3+4 \\ T=1 \end{gathered}`

For the point (2, -3)

x = 2, y = -3

`\begin{gathered} T=2-2(-3) \\ T=2+6 \\ T=8 \end{gathered}`

The minimum value is -8

Then the vertex is (-2, 3)

The answer is B