Function Transformations - Linear and Quadratic

Linear parent function f is graphed on the grid.

Which graph best represents $$h\left(x\right)=-f\left(x\right)+3$$ ?

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

A student graphed $$f\left(x\right)=x$$ and $$g\left(x\right)=f\left(x\right)+3$$ on the same coordinate grid. Which statement describes how the graphs of f and g are related?

Linear function $$f\left(x\right)=x$$ is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to $$\frac{2}{3}$$ and the y-intercept to 4. Which statement about the relationship between these two graphs is true?

Which answer choice describes how the graph of $$f\left(x\right)=x^2$$ was transformed to create the graph of $$n\left(x\right)=x^2-1$$ ?

Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q.

Which function best represents the graph of q?

The graph of $$f\left(x\right)=x^2$$ is reflected over the x-axis and is stretched horizontally to create the graph of function g. Which graph could represent g?

The graph of $$f\left(x\right)=x^2$$ was translated 4.5 units to the left to create the graph of function g. Which function represents g?

The graph of quadratic parent function f was transformed to create the graph of $$g\left(x\right)=f\left(x+2\right)-5$$ . Which graph best represents g?