Complete the following problems without a calculator.
1) Graph the following function and label at least 3 points on your graph: \(y=-x^2+4x-5\).
2) Convert the equation from Standard Form to Vertex Form. Then find the vertex, the y-intercept, and symmetric point to sketch the graph. \(y=3x^2-8x+7\).
3) a) Convert the equation, \(-20-7y=14x^2-35x+8\), into vertex form and find the vertex.
b) Write the equation for the axis of symmetry.
c) Graph the equation.
4) Graph the following: \(y=-\frac{1}{5}(x-7)(x+3)\).
5) Graph \(y=-\frac{1}{2}{(x-3)^2}+4\) by finding the vertex and \(x\)-intercepts (in exact form).
6) Graph \(y=3(x+5)^2-2\) by finding the vertex and \(x\)-intercepts (in exact form).
7) Given the function \(y=-4x^2+16x+48\), find the area of the quadrilateral where \(D\) is the y-intercept, \(A\) is the vertex and \(B\) is an x-intercept of the quadratic.
1) Graph the following function and label at least 3 points on your graph: \(y=-x^2+4x-5\).
2) Convert the equation from Standard Form to Vertex Form. Then find the vertex, the y-intercept, and symmetric point to sketch the graph. \(y=3x^2-8x+7\).
3) a) Convert the equation, \(-20-7y=14x^2-35x+8\), into vertex form and find the vertex.
b) Write the equation for the axis of symmetry.
c) Graph the equation.
4) Graph the following: \(y=-\frac{1}{5}(x-7)(x+3)\).
5) Graph \(y=-\frac{1}{2}{(x-3)^2}+4\) by finding the vertex and \(x\)-intercepts (in exact form).
6) Graph \(y=3(x+5)^2-2\) by finding the vertex and \(x\)-intercepts (in exact form).
7) Given the function \(y=-4x^2+16x+48\), find the area of the quadrilateral where \(D\) is the y-intercept, \(A\) is the vertex and \(B\) is an x-intercept of the quadratic.