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the graph of y=x^2 is shown below. which of the following could be the graph of y=x^2-3
first pic is original graph, next are options A, B, C, and D

the graph of yx2 is shown below which of the following could be the graph of yx23first pic is original graph next are options A B C and D class=
the graph of yx2 is shown below which of the following could be the graph of yx23first pic is original graph next are options A B C and D class=
the graph of yx2 is shown below which of the following could be the graph of yx23first pic is original graph next are options A B C and D class=
the graph of yx2 is shown below which of the following could be the graph of yx23first pic is original graph next are options A B C and D class=
the graph of yx2 is shown below which of the following could be the graph of yx23first pic is original graph next are options A B C and D class=

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Answer:

Answer is D

Step-by-step explanation:

Given the graph of the function [tex]y=x^2[/tex]

We have to find the new graph [tex]y=x^2-3[/tex]

We find that the new graph is nothing but the transformation of the original graph by a vertical shift of 3 units down.

Reason: Instead of [tex]y=x^2[/tex] we have [tex]y+3=x^2[/tex]

Hence there is a vertical shift down by 3 units and no horizontal change.

Hence the new vertex = (0,-3)

The answer is Graph D

The graph is given below.

Step-by-step explanation:

We need to find graph of y = x² - 3

At x = 0 we have

       y = 0² - 3 = -3    

So (0,-3) is a point on the graph.

When y = 0

      0 = x² - 3

       x = 1.732 and -1.732

So, (1.732,0) and (-1.732,0) are the points on the curve.

All these points are satisfied by the graph given below.

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