1) Write a quadratic function in vertex form given the vertex is \((-5,-7)\) and the y-intercept is \(-3\).
2) Write a quadratic function in vertex form when the quadratic passes through the points \((0,0)\), \((-2,26)\), and \((3,36)\).
3) Write a quadratic function, in vertex form, that contains the point \((8,-9)\) and has a vertex at \((2,3)\).
4) Write a quadratic function, in standard form, that contains the point \((-7,17)\) and has a vertex at \((-8,14)\).
5) Write a quadratic function, in standard form, whose graph has a vertex of \((13,-6)\) and passes through the point \((5,2)\).
6) Write a quadratic function with x-intercepts \((-7,0)\) and \((2,0)\) that passes thru the points \((8,7)\) in intercept form.
7) Write a quadratic equation, in standard form, with the given solutions: \(-\large\frac{3}{4}\) and \(\large\frac{7}{9}\) . Be sure all coefficients are integers.
8) Write a quadratic equation, in standard form, with the given solutions: \(2-\large\frac{\sqrt{3}}{5}i\) and \(2+\large\frac{\sqrt{3}}{5}i\). Be sure all coefficients are integers.
9) Write a quadratic function that goes through the coordinates \((-4, 9)\), \((1, 4)\), and \((2, 21)\).
Solution Bank
2) Write a quadratic function in vertex form when the quadratic passes through the points \((0,0)\), \((-2,26)\), and \((3,36)\).
3) Write a quadratic function, in vertex form, that contains the point \((8,-9)\) and has a vertex at \((2,3)\).
4) Write a quadratic function, in standard form, that contains the point \((-7,17)\) and has a vertex at \((-8,14)\).
5) Write a quadratic function, in standard form, whose graph has a vertex of \((13,-6)\) and passes through the point \((5,2)\).
6) Write a quadratic function with x-intercepts \((-7,0)\) and \((2,0)\) that passes thru the points \((8,7)\) in intercept form.
7) Write a quadratic equation, in standard form, with the given solutions: \(-\large\frac{3}{4}\) and \(\large\frac{7}{9}\) . Be sure all coefficients are integers.
8) Write a quadratic equation, in standard form, with the given solutions: \(2-\large\frac{\sqrt{3}}{5}i\) and \(2+\large\frac{\sqrt{3}}{5}i\). Be sure all coefficients are integers.
9) Write a quadratic function that goes through the coordinates \((-4, 9)\), \((1, 4)\), and \((2, 21)\).
Solution Bank