Answer:
value of a is 1.
Step-by-step explanation:
A quadratic equation [tex]y=ax^2+bx+c[/tex] ....[1] where a, b and c are the coefficient.
then the axis of symmetry is given by:
[tex]x = -\frac{b}{2a}[/tex] .....[2]
As per the statement:
The line of symmetry for the quadratic equation [tex]y = ax^2-2x -3[/tex] is x = 1.
On comparing given quadratic equation with [1] we have;
b = -2
then;
Substitute x = 1 in [2] we have;
[tex]1= -\frac{-2}{2a}[/tex]
Simplify:
[tex]1 = \frac{1}{a}[/tex]
⇒[tex]a = 1[/tex]
Therefore, the value of a is 1.
