Question

Fx(x)=a (x+5)² +2 soleve for a, substitute (0,77) into he equations

Answer 1

To find the value of 'a' in the quadratic function, substitute the point (0,77) into the equation, which results in solving the equation 77 = a(0+5)² + 2 for a, concluding that a = 3.

Step-by-step explanation:

To solve for the coefficient a in the quadratic equation f(x) = a(x+5)² +2, we need to substitute the given point (0,77) into the equation and solve for a. The point (0,77) means that when x = 0, f(x) = 77.

Let's substitute the values:

• For x = 0, we get:
• 77 = a(0+5)² + 2
• 77 = 25a + 2

Now, we solve for a:

1. 77 - 2 = 25a
2. 75 = 25a
3. a = 75 / 25
4. a = 3

The value of a is therefore 3.