SOLUTION: Please help me solve this problem: Graph the following using intercepts. y= 2 sqrt(x+9)-4

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Question 982712: Please help me solve this problem:
Graph the following using intercepts. y= 2 sqrt(x+9)-4
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Upper branch of a horizontal parabola, concave to the right. Translated from reference position by 9 units to the left and 4 units downward. The reference function equation would be y=2%2Asqrt%28x%29. You will find that instead of this vertex at origin, your given equation has vertex moved to (-9,-4).


graph%28300%2C300%2C-10%2C2%2C-5%2C7%2C2%2Asqrt%28x%2B9%29-4%29

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The question was, or assigned task was to graph USING THE INTERCEPTS.
Let each variable be 0, one at a time, and solve for the other variable.

If y is 0,
2sqrt%28x%2B9%29-4=0
2sqrt%28x%2B9%29=4
sqrt%28x%2B9%29=2
%28sqrt%28x%2B9%29%29%5E2=4
x%2B9=4
x=4-9
x=-5
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Then this is the intercept (-5,0). This is seen on the graph, also can be helpful in making the graph.

If x is zero,
y=2sqrt%280%2B9%29-4
y=2%2A3-4
y=6-4=2
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The y intercept, (0,2).