Question

What is the y-intercept of the graph of y = 0.5(x - 2)^2 + c, where c is a constant?

Answer 1

We are given the equation :

`y=0.5(x-2)^2\text{ + c}`

The y-intercept of the graph is the value of y when x = 0.

When x = 0,

`\begin{gathered} y=0.5(0-2)^2\text{ + c} \\ y\text{ = }0.5(-2)^2\text{ + c} \\ y\text{ = 0.5 }*\text{ 4 + c} \\ y\text{ = 2 + c} \end{gathered}`

Hence the y-intercept of the graph/equation is 2 + c, where c is a constant

Answer: 2 + c