PARCC High School Algebra 1 Practice Test Questions
1. Fill in the blanks to complete the following sentence. The graph of the equation y=2(x+3)-4x+(x-3)(x+1) is a __________ with zeros at ___ and ____ and a minimum at y=___.
1. Parabola, 3, 1, -1: y=2(x+3)-4x+(x-3)(x+1) simplifies to y=x^2-4x+3, and the zeros of the graph of the equation occur when y=0. To solve 0=x2-4x+3, use the factored form 0=(x-3)(x-1) and set each factor equal to zero. Then, solve for x: (x-3)(x-1)=0 (x-3)=0 (x-1)=0 x=3 x=1 The graph of the quadratic equation ax^2+bx+c is a parabola with an axis of symmetry x=-b/2a, and the maximum or minimum value of a parabola lies on the axis of symmetry. Find the equation which represents the axis of symmetry, and find the y-value for the determined value of x: For =x2-4x+3, a=1,b=-4,c=3. The axis of symmetry is x= (-(-4))/2(1) =2. When x=2, y=(2)2-4(2)+3=4-8+3=-1.