Question

An equation of the parabola shown in the xy-plane is y = ax² - c, where a is a constant and c is an integer. What is the value of c ?

Answer 1

To find c we notice that this value happens when x=0, then we have the equation:

`y=-c`

Now, from the graph we notice that when x=0 the value of y=-10, then we have:

`\begin{gathered} -10=-c \\ c=10 \end{gathered}`

Therefore the value of c is 10.