Question

Solve for a in the equation y = a ( x − 4 ) ^2 − 6 , if the point (7, 12) is on its graph.

Answer 1

`a = 972`

Explanation:

`y = a \: \: ({x - 4})^(2 - 6)`

From (7,12)

`x = 7 \: and \: y = 12`

So,

`12= a \: ({7 - 4})^( - 4)`

`12 = a \: ({3})^( - 4)`

`12 = \frac{a}{ {3}^(4) }`

`12 = (a)/(81)`

`a = 81 * 12 = 972`