Question

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Answer 1

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: a = -1$

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$\large \tt Solution \: :$

For a function f(x) = y,

x represents the value ( x - coordinate ) at which the function has a value y.

$\qquad \tt \rightarrow \: f(x) = a {x}^{2} + 2$

for point (-1 , 1) to satisfy the equation, we have to calculate the value of a

$\qquad \tt \rightarrow \: f( - 1) = a( - 1) {}^{2} + 2$

$\qquad \tt \rightarrow \: 1 = a + 2$

$\qquad \tt \rightarrow \: a = 1 - 2$

$\qquad \tt \rightarrow \: a = - 1$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer 2

Substitute -1 into x

Substitute 1 into y

f(x)= a (-1) ^2+2=1

       a=-1