Solving for the Value of a when the Function Passes through the Point (7,0)

Solve for a when the function f(x) = a|x +1| + 4 passes through the point (7,0)

To solve for the value of a when the function passes through the point (7,0), we need to substitute the given values into the equation and solve for a

To solve for the value of a when the function passes through the point (7,0), we need to substitute the given values into the equation and solve for a.

Let’s start by plugging in the x and y values into the equation: f(x) = a|x + 1| + 4

0 = a|7 + 1| + 4

Simplifying the expression inside the absolute value, we get:

0 = a|8| + 4

Since the absolute value of 8 is 8, we can rewrite the equation as:

0 = 8a + 4

Now, let’s isolate the variable a by subtracting 4 from both sides of the equation:

-4 = 8a

Dividing both sides by 8, we can solve for a:

-4/8 = a

Simplifying, we get:

a = -1/2

Therefore, when the function f(x) = a|x + 1| + 4 passes through the point (7,0), the value of a is -1/2.

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