What is the equation of the quadratic function with a vertex at 2,-25 and an x-intercept at 7,0 ? fx=x-2x-7 fx=x+2x+7 fx=x-3x+7 fx=x+3x-7

Question
What is the equation of the quadratic function with a vertex at 2,-25 and an x-intercept at 7,0 ? fx=x-2x-7 fx=x+2x+7 fx=x-3x+7 fx=x+3x-7
Answer:
a Write properties of function: x intercept/zero: x_{1} = 2, multiplicity 1; x_{2} = 7, multiplicity 1vertex form: f{(x )} = (x - \dfrac{9}{2})^{2} - \dfrac{25}{4}vertex: (\dfrac{9}{2},- \dfrac{25}{4})b Write properties of function: x intercept/zero: x_{1} = -7, multiplicity 1; x_{2} = -2, multiplicity 1vertex form: f{(x )} = (x + \dfrac{9}{2})^{2} - \dfrac{25}{4}vertex: (- \dfrac{9}{2},- \dfrac{25}{4})c Write properties of function: x intercept/zero: x_{1} = -7, multiplicity 1; x_{2} = 3, multiplicity 1vertex form: f{(x )} = (x + 2)^{2} - 25vertex: (-2,-25)d Write properties of function: x intercept/zero: x_{1} = -3, multiplicity 1; x_{2} = 7, multiplicity 1vertex form: f{(x )} = (x - 2)^{2} - 25vertex: (2,-25)
solved
algebra 5 months ago 6536