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6) Which of the following equations is of a parabola with a vertex at (3, 0)?
a) y = x2 + 3
b) y = x2-3
c) y = ( x + 3) 2
d) y = ( x - 3)2


Sagot :

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

We need a parabola with a vertex at (0,-3)

If we select the equation:

[tex]y=x^2-3[/tex]

When we put x = 0, we get

[tex]y=0-3[/tex]

[tex]y=-3[/tex]

And similarly, when we put y = -3, we get

[tex]-3=x^2-3[/tex]

[tex]0=x^2[/tex]

[tex]x=0[/tex]

Hence, second option is correct.

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