Question

PLSSSSSSSSSSSSS HELp VERY URGENT The graph of F(x), shown below, resembles the graph of G(x) = x^2, but it has been stretched somewhat and shifted. Which of the following could be the equation of F(x)?

Answer 1

Option B

Explanation:

Function 'g' is,

g(x) = x²

Since, leading coefficient of this function is positive, parabola is opening upwards.

From the graph attached,

Function 'f' is opening upwards leading coefficient of the function will be positive.

Since, the graph of function 'f' is vertically stretched, equation will be in the form of f(x) = kx²

Here, k > 1

Since, function 'f' is formed by shifting the graph of function 'g' by 1 unit upwards,

f(x) = g(x) + 1

Combining all these properties, equation of the function 'f' should be,

f(x) = 4x² + 1

Option B will be the correct option.