On the graph, plot all relevant points for y=x^2-4x+3. Then give the equation for a graph that shifts up 2 units and to the left 3 units. If it is a function, give its domain and range.

Question

Thank you!!

Answer 1

old equation y=x^2-4x+3
now shift up 2,3 to the left.

new equation : y-2 = (x+3)^2-4(x+3) + 3

expand it

change each equation to the "vertex form" to answer the other parts of the question