Answer:
f(x) = 4
Step-by-step explanation:
Firstly circle upon the graph where the f(x) = y is being where the curve crosses y
At y = -2
This must mean where -2 is y then we see that x = 0 as its the y axis.
The f (-2) therefore means 0 moves to -2 which makes the y axis = 4
as this crosses at 4
The parabola simply transitions right when we are given a negative f value being our y value and wherever it crosses y we can always relate to x staying at 0 to define our table well at least the starting point of a x^2 curve table.
To find already plotted graph gradient to check where x = 0
The slope can be measured becomes the tangent line on left side inside on same line can be measured at rise 7 run 1.5 = 7 / 3/2 = 4.66666667 approx = 4.67 gradient.
When f(x) = 4 = y
Then we can multiply 7/3/2 into the equation
y = x^2 -2x + 4
and here we found the equation.