Graphing Quadratic Functions
Solving Quadratic Functions
Complex Numbers
Completing the Square
Misc.
100
The ________ of a parabola is the point of a parabola that lies on the axis of symmetry.
What is the vertex
100
Find the zeroes of y=x2-x-6. Name two points the graph passes through?
Use factoring to write the function in intercept form. (X+2)(X-3). Graph passes through (-2,0) and (3,0)
100
The ________ of a complex number is the form a + bi where a and b are real numbers and i is the imaginary unit.
What is standard form
100
Explain how to complete the square of a trinomial
Write left side in the form x2+bx. Add half of b squared to each side. Write the left side as a binomial squared. Take the square root of each side. Solve for x. Simplify if needed.
100
The process of eliminating a radical in the denominator of a fraction by multiplying both the numerator and the denominator by an appropriate radical is called ________ the denominator.
What is rationalizing
200
The ________ of a quadratic function is the form y = a(x - h)2 + k where the vertex of the graph us (h, k) and the axis of symmetry is x = h.
What is vertex form
200
Solve the equation by factoring: 3x2 -21x + 36 =0
What is 4,3
200
The absolute value of 2+i
What is Sqare root of 5, pg. 275
200
Solve by completing the square: x2-4x+3=0
What is 3,1
200
Find the discriminant of the equation and give the number and type of solutions of the equation. x2+6x-16=0
What is 100, 2 real solutions
300
The form of the quadratic function: y=-(x+2)(x-4)
What is intercept form
300
Solve the equation using the appropriate method: 4(x+1)2=64
What is 3, -5
300
5/(7i) as a simplified expression
What is -5i/7
300
Write the quadratic function y=x2-8x=11 in vertex form. What is the vertex of the function's graph?
What is y=(x+4)2-5 vertex at (4,-5)
300
Graph the quadratic inequality y>x2
What is vertex at (0,0) crosses at (2,4) and (-2,4) Dashed line, shaded inside
400
Graph the quadratic equation y=x2-10x+25
What is vertex at (5,0). Other points: (2,8) and (8,8)
400
Solve the equation: 2y2+6=y2
What is +i sq. rt.6, -i sq. rt. 6
400
Complex ________ are two complex numbers of the form a + bi and a - bi. Their product is always a real number.
What are conjugates
400
Rewrite the expression as a square of a binomial: x2+16x+64
What is (x+8)2
400
Graph the quadratic inequality y_<2x2-1 (less than or equal to)
What is vertex at (-1,0) crosses at (1,1) and (-1,1) shaded outside, solid line
500
Graph the quadratic function: y=x2-1
What is vertex at (0,-1) Cross at (-2,3) and (2,3)
500
Use the quadratic formula to solve: x2+10x+9=0
What is -1,-9
500
Explain how to plot the complex number in the complex plane: 2-3i
Start at the origin, move 2 units to the right(real), and then three units down (imaginary).
500
Solve by completing the square: -4r2+21r=r+13
What is 4/5+3/5i
500
You toss a ball into the air at a height of 5 feet. The velocity of the ball is 30 feet per second. You catch the ball 6 feet from the ground. Use the model to find how long the ball was in the air. 6 =-16t2+30t+5
What is 1.84 seconds