SOLUTION: Give the equation of the function whose graph is describe. The graph of y=x^2 is shifted 4 units to the right. this graph is then vertically stretched by a factor of 5 and refle

Question 47648: Give the equation of the function whose graph is describe.
The graph of y=x^2 is shifted 4 units to the right. this graph is then vertically stretched by a factor of 5 and reflected across the x-axis.Finally the graph is shifted 8 units upward.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
start with

Shift 4 units to the right

Stretch in the vertical direction by factor of 5

Reflect about the x-axis

Shift 8 units upward

Solving for y,

Check some values to see if they make sense
When x = 4,

OK
Find roots (solve for y=0) use
where
a = -5
b = 40
c = -72

These values make sense according to graph
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