Graph each function. State the domain, the vertex (min/max point), the range, the x intercepts, and the axis of symmetry.

Transcription

1 HW Worksheet Name: Graph each function. State the domain, the vertex (min/max point), the range, the x intercepts, and the axis of smmetr..) f(x)= x x Vertex: Max or min? Axis of smmetr:.) h(x) = x x x Vertex: Max or min? Axis of smmetr:.) f(x)= x x Vertex: Max or min? Axis of smmetr:

2 HW Worksheet Name: Find the vertex of each parabola. Graph the function and find the requested.) f(x)= x x x ) = x + x x Wider or narrower than = x? Axis of smmetr: Wider or narrower than = x? Axis of smmetr:.) g(x) = x + x x Wider or narrower than = x? Axis of smmetr: Without graphing the quadratic functions, complete the requested :.) f x x x ( ) = +.) gx= x+ x ( ) What is the direction of opening? Is the vertex a max or min? Wider or narrower than = x? What is the direction of opening? Is the vertex a max or min? Wider or narrower than = x?

3 HW Worksheet Name: For #, a quadratic function and its graph are shown. Identif the solutions, or roots, of the related quadratic equation..) g(x) = x x.) h(x) = x + x x x Solve: = x x Solve: = x + x For #, solve for the variables b using square roots. (Factor first!).) (x ) =.) x + x+ =.) x + x+ = For #, find the vertex of the parabola. Graph the function and find the requested.) = x + x a =, b =, c = x Vertex: Max or min? Axis of smmetr:

4 HW Worksheet Name: For #, a quadratic function and its graph are shown. Identif the solutions, or roots, of the related quadratic equation..) f(x) = x x.) = x x x Solve: = x x Solve: = x + For #, solve for the variables b using square roots. (Factor first!).) x =.) (x + ) =.) x + x+ = For #, find the vertex of the parabola. Graph the function and find the requested.) g(x) = x + x a =, b =, c = x For #, translate and solve:.) The square of a positive number minus twice the number is. Find the number. Let n = = Wider or narrower than = x? Axis of smmetr:.) The length of a rectangle is ft greater than its width. The area of the rectangle is ft. Find the length and the width of the rectangle.

5 HW Worksheet Name: For #, find the vertex of each parabola. Graph the function and find the requested.) = x x x ) g(x) = x x a =, b =, c = x Wider or narrower than = x? Axis of smmetr: Wider or narrower than = x? Axis of smmetr: For #, solve b completing the square. Leave in simplified radical form..) x x =.) x + x =.) x x =.) x x= For #, translate and solve:.) The length of a rectangle is ft less than its width. The area of the rectangle is ft. Find the length and the width of the rectangle.

6 HW Worksheet Name: For #, solve b completing the square. Leave in simplified radical form..) x + x+ =.) x + x =.) x + x = For #, solve b the quadratic formula. Leave in simplified radical form..) x + x + =.) x + x =.) x x =.) x x+ =.) x + x+ =.) x + x = For #, translate and solve..) One less than a positive number times three more than that number is. Find the number. Let n = ( )( ) =

7 HW Worksheet Name: For #, find the vertex of the parabola. Graph the function and find the requested.) = x + x x Wider or narrower than = x? Axis of smmetr: For #, solve b completing the square. Leave in simplified radical form..) x x=.) x + x = For #, solve b using the quadratic formula. Leave in simplified radical form..) x = x.) x x = For #, solve b factoring..) x + x =.) x = For #, translate and solve..) The product of two consecutive odd integers is. Find the numbers..) The length of a rectangle is three centimeters less than the width. If the area of the rectangle is cm, find the dimensions of the rectangle.

8 HW Worksheet Name: For #, find the vertex of each parabola. Graph the function and find the requested.) h(x) = x + x x ) h(x) = x x x For #, solve b using square roots.) =.) (x ) = Wider or narrower than = x? Axis of smmetr: Wider or narrower than = x? Axis of smmetr: For #, solve b completing the square. Leave in simplified radical form..) x + x =.) x + x = For #, solve b factoring..) x x =.) x + x =

9 For #, solve b using the quadratic formula. Leave in simplified radical form..) x x =.) x + x = For #, Write the expression for the discriminant. Use this to find the number of real solutions for each equation:.) x x + =.) x + x =.) x x + = For #, translate and solve..) The square of a negative number added to four times that number equals negative three. Find the number..) The length of a rectangle is two more centimeters than the width. If the area of the rectangle is cm, find the dimensions of the rectangle. For #, a quadratic function and its graph are shown. Identif the solutions, or roots, of the related quadratic equation..) f(x) = x x.) = x x x Solve: = x x x = or Solve: = x +