Question

The equation of the quadratic function represented by the graph is y=a(x-3)^2-1. What is the value of a?

Answer 1

Answer:

Value of a is 2      

Step-by-step explanation:

Given the equation of the quadratic function represented by the graph is $y=a(x-3)^2-1$. we have to find the value of a.

As seen in the figure, parabola cuts the graph at point (2,1) implies point (2,1) is one of the solution of the given quadratic equation i.e of given parabola.

∴  Point (2,1) satisfies the given equation.

Hence, we can find the value of a by putting the value of x and y, we get

$1=a(2-3)^2-1$

⇒ $2=a$

Hence, the value of a is 2