Question

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RO
SEROANATENG
BADA. SIMON
VVUIS
SEKOLAH MENENG
KERTAS
MATIK TINGKATAN 4
GIAN A. Jawab semua soalan
Fungsi kuadratik f(x) = x2 - 6x + c melalui titik B(-2,4). Apakah nilai bagi c?
The quadratic function f(x) = x2 - 6x + c passes through point B(-2,4). What is the
value of c?
A -12
B -6
C 6
D 12​

Answer 1

Given:

Quadratic function is

$f(x)=x^2-6x+c$

It passes through B(-2,4).

To find:

The value of c.

Solution:

The quadratic function passes through B(-2,4), it means the equation of quadratic equation must be true for the point B(-2,4).

We have,

$f(x)=x^2-6x+c$

Putting x=-2 and f(x)=4, we get

$4=(-2)^2-6(-2)+c$

$4=4+12+c$

$4=16+c$

Subtract both sides by -16.

$4-16=c$

$-12=c$

The value of c is -12.

Therefore, the correct option is A.