Step-by-step explanation:
to solve for a,
f(-1) = 5
a(-1)^2 + 1 = 5
a + 1 = 5, so a=4
The required value is [tex]a=4[/tex]
The given point is (-1,5)
And the graph is [tex]f(x)=ax^2+1[/tex]
Now, substituting the point into the given equation we get,
[tex]f(-1)=a(-1)^2+1=5\\a+1=5\\a=5-1\\a=4[/tex]
So, the required value is [tex]a=4[/tex].
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