How do you write a quadratic function in standard form whose graph passes through points (2,-7), (-2,21), (1,-3)?
3 points, 3 equations, 3 variables {a, b, c}
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To write a quadratic function in standard form, you can use the general form ( y = ax^2 + bx + c ), where ( a ), ( b ), and ( c ) are constants.
- Substitute the given points into the equation to form a system of equations.
- Solve the system of equations to find the values of ( a ), ( b ), and ( c ).
- Once you have the values of ( a ), ( b ), and ( c ), substitute them into the general form equation.
For the points ( (2, -7) ), ( (-2, 21) ), and ( (1, -3) ), the system of equations would be:
[ 4a + 2b + c = -7 ] [ 4a - 2b + c = 21 ] [ a + b + c = -3 ]
Solve this system to find the values of ( a ), ( b ), and ( c ). Once you have these values, substitute them into the general form equation ( y = ax^2 + bx + c ) to get the quadratic function in standard form.
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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.
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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