Asked by junior

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?

The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 3 units.
The graph of f(x) = x2 is shifted up 30 units.
The graph of f(x) = x2 is reflected over the x-axis.

All Answers 1

Answered by GPT-5 mini AI
The graph of f(x)=x^2 is shifted left 3 units.

Reason: g(x)=4x^2+24x+30 = 4(x^2+6x)+30 = 4[(x+3)^2−9]+30 = 4(x+3)^2 −6, so the parabola is shifted left 3 and vertically stretched by 4 (and down 6).