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

Algebra ->  Graphs -> SOLUTION: Give the equation of the function whose graph is describe. the graph of y=x^2 is shifted 4 units to the left. This graph is then vertically stretched by a factor of 5 and reflec      Log On


   

Question 47647: Give the equation of the function whose graph is describe.
the graph of y=x^2 is shifted 4 units to the left. This graph is then vertically stretched by a factor of 5 and reflected across the x-axis. finally the graph is shifted 7 units downward.
Help please
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Remember Vertex Form: f(x) = a(x - h)^2 + k where v(h,k): h determines left and right while k determines up or down
f(x) = x^2
graph%28450%2C450%2C-10%2C10%2C-10%2C10%2Cx%5E2%29
f(x) = (x - 4)^2 shift four units to the right
graph%28450%2C450%2C-10%2C10%2C-10%2C10%2C%28x+-+4%29%5E2%29
f(x) = 5*(x - 4)^2 stretched by a factor of five vertically
graph%28450%2C450%2C-10%2C10%2C-10%2C10%2C5%2A%28x+-+4%29%5E2%29
f(x) = -5*(x - 4)^2 reflected along the x-axis (+a is up; -a is down)
graph%28450%2C450%2C-10%2C10%2C-10%2C10%2C-5%2A%28x+-+4%29%5E2%29
f(x) = -5*(x - 4)^2 - 7 shifted downward seven units
graph%28450%2C450%2C-10%2C10%2C-10%2C10%2C-5x%5E2+%2B+40x+-+87%29
f(x) = -5x^2 + 40x - 87