Answer:
The answer to the question is
Its other zero (x-intercept) will be located at x = -5
Step-by-step explanation:
To solve the question, we note that a parabolic function is of the form
ax² + bx +c = 0
Therefore we have the vertex occurring at the extremum where the slope = 0
or dy/dx =2a+b = 0 also the x intercept occurs at x = 7, therefore when
ax² + bx +c = 0, x = 7 which is one of the solution
when x = 5, y = -4
That is a*25 +5*b + c = -4 also
49*a + 7*b + c = 0
2*a + b = 0
Solving the system of equations we get
a = 0.2, b = -0.4 and c = -7
That is 0.2x² -0.4x -7 = 0 which gives
(x+5)(x-7)×0.2 = 0
Therefore the x intercepts are 7 and -5
the second intercept will be located at x = -5
