Finding the value of a to make the equation pass through the point (0,0): a(x + 2)² – 1 = 0

Solve for a when the function f(x) = a(x +2)² -1 passes through the point (0,0)

To solve for a when the function f(x) = a(x + 2)² – 1 passes through the point (0,0), we need to find the value of a that satisfies this condition

To solve for a when the function f(x) = a(x + 2)² – 1 passes through the point (0,0), we need to find the value of a that satisfies this condition.

Let’s substitute the x and y values of the point (0,0) into the function:

f(0) = a(0 + 2)² – 1
0 = a(2)² – 1
0 = 4a – 1

Now, we can solve this equation for a. Add 1 to both sides:

1 = 4a

Next, divide both sides by 4:

1/4 = a

Therefore, the value of a that satisfies the condition is a = 1/4.

Hence, when a = 1/4, the function f(x) = (1/4)(x + 2)² – 1 passes through the point (0,0).

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