Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)?
2 answers:
<h2>Answer:</h2>
The total number of solutions to the equation f(x) = g(x) is:
Tow solution (2 solution)
<h2>Step-by-step explanation:</h2>We are given two functions f(x) and g(x).
The solution to the equation:
are the x-values of the point of intersection of the graphs of the two function.
By looking at the graph we observe that the graph of two function intersects at two points (-3,7.5) and (1,0).
Hence, the number of solutions to the equation f(x)=g(x) is: Two solutions.
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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 .