Choose one and explain answer. Start by copying your choice in your tread. A par

Question

Choose one and explain answer. Start by copying your choice in your tread. A parabola that opens upward has it vertex at (3, 7). Give four things that are true about the parabola based on this information. Include in your number of x-intercepts (if any) for the parabola. A parabola that has a maximum =-3 at x = -11. Give four things that are true about the parabola based on this information. Include in your discussion the number of x-intercepts (if any) for the parabola. A parabola that opens downward has vertex at (-2, 3). Give four things that are true about the parabola based on this information. Include in your discussion the number of x-intercepts (if any) for the parabola. A parabola that has a minimum - 0 at x = Give four things that are true about the parabola based on this information. Include in your discussion the number of x-intercepts (if any) for the parabola. 2^nd and 3^rd posts. Reply to at least two of your classmates by adding more information about the parabola.

Explanation / Answer

1) a parabola that opens upwards and has vertex of (3 , 7 )

this can be written as

y = ( x- 3)^2 + 7

or

y = x^2 - 6x + 16

this parabola has no x intercepts as the roots of the parabola are complex

since the leading coefficient is positive hence parabola opens upwards

vertex is found by using formula

x = -b/2a = -(-6 )/ 2(1) = 3

y =  (3)^2 - 6(3)+ 16 = 7

hence vertex is ( 3, 7 )

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