Quadratic Graphs
What is the largest number of zeroes a quadratic function could have?
What is 2?
The value of "a" for a graph of a quadratic function opening downward.
What is negative?
The coordinates of the y-intercept for the quadratic function y=-2x2 + 5x - 7
What is (0,-7)?
What is standard form of a quadratic equation?
y=ax2+bx+c
Solve the equation:
2x - 5 = 19
The shape of the graph of a quadratic function.
What is a parabola?
The vertex of the quadratic function y = 5x2 + 10x - 2 is a ____________________ point. Hint: max or min
What is minimum?
Find the zeroes of the following:
x2 - 8x - 20
x = 10 and x = -2
What is the point that the parabola crosses the y-axis? And what is the value that you can substitute for x to find it.
y-intercept
x=0
What are the three ways to solve a system of equations?
graphing
elimination
substitution
The name of the line that divides a quadratic function exactly in half.
What is the axis of symmetry?
x-intercepts, zeros, roots, solutions
What determines whether a function will have a maximum turning point or a minimum turning point?
The value of a
y=0
Substitute and solve if x=-3
2x + x2 -5
What is -2
The point on a quadratic function that will be the maximum or minimum of the function.
What is the vertex?
What values does the domain represent?
x values
Find the axis of symmetry for the parabola:
y=x2 + 10x + 6
x= -5
Find the roots if (x + 3)(2x - 1) = 0
x = -3 and x = 1/2
Solve the system of equations:
4x +8y = 20
-4x + 2y = -30
(7,-1)
What is the difference between a linear equation and a quadratic equation?
What is linear has an x and quadratic has x2
the y values
The coordinates of the vertex for the quadratic function y=x2 - 4x + 8 is ____________________.
What is (2,4)?
What is the solution of a parabola that does not cross the x-axis?
I want to go to the fair. I know it costs $5 to get in the fair. Each ride ticket is $1.25. Write an equation to help me find out how much money,y, I need to ride, x, number of rides.