Question

The graph represents a quadratic function. Write an equation of the function in standard form.

Answer 1

Below

Explanation:

From the graph, the zeroes are at -4 and - 0.5 so the equation starts like this:

a (x+4)(x+.5) = 0 now ya need to sub in a point to calculate 'a'

...... point 0,4 results in this:

a (0+4)(0+.5) = 4

2a = 4

a = 2

so the equation becomes 2 ( x+4)(x+.5) = 0

2 ( x^2 + 4.5x +2) = 0

2 x^2 + 9x + 4 =0