# How do you write a quadratic function in intercept form whose graph has x intercepts -4,1 and passes through (-3,-4)?

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To write a quadratic function in intercept form given x-intercepts and a point, follow these steps:

- Use the x-intercepts to form the factors of the quadratic equation.
- Multiply the factors to form the quadratic equation.
- Use the given point to determine the value of the constant term in the equation.

Given x-intercepts -4 and 1, the factors of the quadratic equation are (x + 4) and (x - 1). Multiplying the factors, we get: ( f(x) = a(x + 4)(x - 1) ).

Now, use the given point (-3, -4) to find the value of 'a'. Substitute x = -3 and f(x) = -4 into the equation and solve for 'a'.

[ -4 = a(-3 + 4)(-3 - 1) \ -4 = a(1)(-4) \ -4 = -4a \ a = 1 ]

Thus, the quadratic function in intercept form is: [ f(x) = (x + 4)(x - 1) ]

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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