if the function f(x) has a domain of -2≤x≤8 and a range of -4≤y≤6 and the function g(x) is defined by the formula g(x)= 5f(2x) t
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We have been given graph of a downward opening parabola with vertex at point . We are asked to write equation of the parabola in standard form.
We know that equation of parabola in standard form is .
We will write our equation in vertex form and then convert it into standard form.
Vertex for of parabola is , where point (h,k) represents vertex of parabola and a represents leading coefficient.
Since our parabola is downward opening so leading coefficient will be negative.
Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:
Divide both sides by
So our equation in vertex form would be .
Let us convert it in standard from.
Therefore, the equation of function is standard form would be .