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