Question

Write the rule of a function g whose graph can be obtained from the graph of the function f(x)=x^2-x+1 by reflecting the graph in the x-axis, then shifting it vertically upward 2 units.

Answer 1

You reflect the graph of a function in the x-axis by changing the sign of it. And you can move it vertically upwards by adding 2 to the function.

Answer 2

Reflected function: w(x) = -x^2+x-1

Answer 3

shifted function: g(x) = -x^2+x+1

Answer 4

Oh okay that makes sense thanks!

Answer 5

You're welcome.