The graphs below have the same shape. What is the equation of the red graph?

f(x) = 4 – x²

g(x) = ?

O A. g(x) = (7 - x)2
O B. g(x) = 1 - x2
O C. g(x) = 7 - x2
D. g(x) = (1 - x)2

Option B is correct .

Step-by-step explanation:

According to Question , both the graph have same shape . If we look at the the first graph it cuts x - axis at (0 , 2) and ( 0 , -2) . Hence x = 2 and -2 are the zeroes of the equation .

And ,the given function is ,

Hence ,we can can see that x = 2 and (-2) are the zeroes of graph.

This implies that if we know the zeroes , we can frame the Equation.

On looking at second parabola , it's clear that cuts x - axis at ( 1, 0 ) and (-1,0). So , 1 and -1 are the zeroes of the quadratic equation . Let the function be g(x) . Here , a and ß are the zeroes.

Hence option B is correct .

O B. g(x) = 1 - x^2

Step-by-step explanation:

Since the function in the graph is headed downwards, we know the portion of is negative. And since the highest point of the red line on the y-axis is 1, we can conclude the function represented by the red line is 1 - x^2.

Hope this helped!