The value of a in the function's equation is 3
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type
A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions,
equation of parabola is :
[tex]y= a (x-h)^{2} + k[/tex]
where ,
h= horizontal coordinate of graph
k = vertical coordinate of graph
a = the value of the coefficient
According to the question
horizontal coordinate of graph = -2
vertical coordinate of graph = 2
[tex]y= a (x-h)^{2} + k[/tex]
[tex]y= a (x+2)^{2} + 2[/tex]
now we will take one point from x and y value from the graph to take out value of coefficient a
from graph (x,y) = (-1,5)
[tex]5= a (-1+2)^{2} + 2[/tex]
[tex]\\3= a (-1+2)^{2}[/tex]
[tex]\\3= a (1)^{2}[/tex]
[tex]a = 3[/tex]
Hence, the value of a in the function's equation is 3
To know more about equation function and parabola here :
https://brainly.com/question/26227783
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