Write the equation of the parabola that passes through the points (1,0), (6,0), and (7,30). Write your answer in the form y=a(x−p)(x−q), where a, p, and q are integers, decimals, or simplified fractions. Get tutor helpWrite the equation of the parabola that passes through the points (−4,18), (−3,0), and (−1,0). Write your answer in the form y=a(x−p)(x−q), where a, p, and q are integers, decimals, or simplified fractions. Get tutor helpWrite the equation of the parabola that passes through the points (1,0), (3,0), and (5,40). Write your answer in the form y=a(x−p)(x−q), where a, p, and q are integers, decimals, or simplified fractions. Get tutor helpWrite the equation of the parabola that passes through the points (−9,−16), (−5,0), and (−4,0).Write your answer in the form y=a(x−p)(x−q), where a, p, and q are integers, decimals, or simplified fractions. Get tutor helpWrite the equation of the parabola that passes through the points (−3,0), (−2,−12), and (1,0).Write your answer in the form y=a(x−p)(x−q), where a, p, and q are integers, decimals, or simplified fractions. Get tutor helpWrite the equation of the parabola that passes through the points (−3,0), (−2,−60), and (4,0).Write your answer in the form y=a(x−p)(x−q), where a, p, and q are integers, decimals, or simplified fractions. Get tutor helpWrite the equation of the parabola that passes through the points (3,0), (2,−27), and (−1,0). Write your answer in the form y=a(x−p)(x−q), where a, p, and q are integers, decimals, or simplified fractions. Get tutor helpWrite the equation of the parabola that passes through the points (−3,−14), (−5,0), and (2,0). Write your answer in the form y=a(x−p)(x−q), where a, p, and q are integers, decimals, or simplified fractions. Get tutor helpWrite the equation of the parabola that passes through the points (−6,−15), (−1,0), and (−7,0). Write your answer in the form y=a(x−p)(x−q), where a, p, and q are integers, decimals, or simplified fractions. Get tutor helpShow that the points A(1,3),B(4,3),C(4,6) and D(1,6) are the vertices of a square. Get tutor help(−4)−(+6)(+9)−(−3) f. (−1,7)−(−3,4)(+17)−(−5)+(+4)−(+5)−(−4)(−15)+(+3,5)−(−7,9)+(−13,6) Get tutor helpLet (e) be the Euclidean metric on Rn and let A=[aij] be a positive definite symmetric real matrix. Define [(x,y)↦∑i=1n∑j=1naij(xi−yi)(xj−yj)] where x=(x1,…,xn) and y=(y1,…,yn). (a) Show that (Rn,eA) and (Rn,e) are isometric metric spaces. (b) Show that the function F:(Rn,eA)→(Rn,e),x↦−x is continuous. Get tutor helpuse quadratic regression Find a function that fits the points? (1,4),(2,2)(5,8) Get tutor helpDetermine the x-intercepts of the following equation.(−x−1)(x−3)=y(3,0)(−1,0) and (3,0)(0,3)(0,−3)(0,−1) and (0,3)(−1,0) and (−3,0) Get tutor helpDetermine the x-intercepts of the following equation.(−x−4)(x+3)=y(0,−4) and (0,−3)(−4,0) and (−3,0)(0,−12)(0,12)(−4,0) and (3,0)(−12,0) Get tutor helpDetermine the y-intercept of the following equation.(x−5)(x+4)=y(5,0) and (−4,0)(−20,0)(0,5) and (0,−4)(0,−20)(−5,0) and (−4,0)(0,20) Get tutor helpDetermine the x-intercepts of the following equation.(x+5)(x−4)=y(0,−5) and (0,4)(0,−20)(−5,0) and (−4,0)(−5,0) and (4,0)(0,20)(−20,0) Get tutor helpDetermine the y-intercept of the following equation.(−x+4)(x+3)=y(0,12)(0,4) and (0,−3)(0,−12)(12,0)(4,0) and (−3,0)(−4,0) and (−3,0) Get tutor helpDetermine the x-intercepts of the following equation.(−x−2)(x−4)=y(−2,0) and (4,0)(−2,0) and (−4,0)(8,0)(0,−2) and (0,4)(0,−8)(0,8) Get tutor helpDetermine the x-intercepts of the following equation.(x+1)(x−3)=y(0,−1) and (0,3)(−3,0)(0,3)(0,−3)(−1,0) and (3,0)(−1,0) and (−3,0) Get tutor helpDetermine the y-intercept of the following equation.(−x−2)(−x−3)=y(2,0) and (−3,0)(−2,0) and (−3,0)(0,−6)(0,6)(6,0)(0,−2) and (0,−3) Get tutor helpDetermine the x-intercepts of the following equation.(x+3)(x−2)=y(0,6)(−6,0)(0,−6)(0,−3) and (0,2)(−3,0) and (2,0)(−3,0) and (−2,0) Get tutor helpDetermine the y-intercept of the following equation.(x+3)(x−5)=y(0,−15)(−15,0)(−3,0) and (5,0)(0,−3) and (0,5)(3,0) and (5,0)(0,15) Get tutor help