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How to write vertex form when given to choices of “a” in a question ex: write the vertex form of the function where a=1 or a= -1 and H and K are integers? And the vertex is (-1,4)



Answer :

Answer:

Step-by-step explanation:

Vertex form of quadratic equation is

[tex]y = a(x-h)^2 + k[/tex]

where h and k are the x and y coordinates of the vertex, respectively.

so in this problem

if a=1 and Vertex is (-1,4) means h= -1 and k = 4

the equation will be

[tex]y = 1 (x-(-1))^{2} + 4[/tex]

[tex]y = (x+1)^2 + 4[/tex]

if a=-1 and Vertex is (-1,4) means h= -1 and k = 4

the equation will be

[tex]y = -1 (x-(-1))^{2} + 4[/tex]

[tex]y = -(x+1)^2 + 4[/tex]

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