Question

The graph of y = ax^2 + c contains the point (8, 10). Name the corresponding point on the graph of y = a(x+ 3^)2 + c.

Answer 1

Answer:

Graph

x=x2+2x+1

Make a table of value for some values of x. Use both positive and negative values!

x y = x2 + 2x + 1

-3 4

-2 1

-1 0

0 1

1 4

2 9

3 16

Graph the points and draw a smooth line through the points and extend it in both directions

picture55

Notice that we have a minimum point which was indicated by a positive a value (a = 1). The vertex has the coordinates (-1, 0) which is what you will get if you use the formula for the x-coordinate of the vertex

x=−b2a=−22⋅1=−1

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Step-by-step explanation: