Question

question the graph of $f(x) = x^2$ is given below. write the equation of a function $g(x)$ which would shift the graph of $f(x)$ left 1 unit. answer attempt 2 out of 2 $g(x) = $ submit answer

Explanation:

Step 1: Recall Horizontal Shift Rule

For a function \( y = f(x) \), a horizontal shift left by \( h \) units (where \( h>0 \)) is given by \( y = f(x + h) \).

Step 2: Apply the Shift to \( f(x)=x^2 \)

We need to shift \( f(x)=x^2 \) left by 1 unit. Using the horizontal shift rule, replace \( x \) with \( x + 1 \) in \( f(x) \). So \( g(x)=f(x + 1)=(x + 1)^2 \).

Answer:

\( g(x)=(x + 1)^2 \)