What does it mean to put an equation in standard form?
Put the terms in order - from the largest exponent to the smallest.
Use factoring to solve the quadratic. m^2 + 3m - 40 =0
x=5 x=-8
If a quadratic function has an x-intercept at -2 and an x-intercept at 5, how many solutions are there to the function?
Two solutions
If the zeroes of a function are -2 and 4, what are the factors for the function?
(x + 2)(x - 4) = y
What are two other names for the zeroes of a parabola?
Use the factoring or quadratic formula to solve the quadratic.
x2 - 4x - 12 = 0
x = 6, x = -2
What can the coefficient of an "a" term tell you about the behavior of the parabola? ax^2 +bx + c
If it is positive, the graph is U-shaped (think like a happy face, like we saw in class!)
If it is negative, the graph is n-shaped (like a frowning face).
Name the x-intercepts. Give points where the parabola is crossing the x-axis. Y=(x)(x-2)
(0,0) and (2,0)
Use factoring to solve.
4a^2 +16a -20 =0
(4a + 20) (a - 1) = 0
a = -5 a = 1
What is another name for the vertex of the parabola?
(Hint: Think about what is happening when the graph reaches the vertex!)
The turning point
Name the x-intercepts. Use factoring, graphing or quadratic formula to find the points where the parabola crosses through the x-axis. y=x^2 - x - 2
(-1,0) and (2,0)
What are the factors of the quadratic below?
x2 + 14x + 48 = 0
(x + 6)(x + 8) = 0
x = -6 and x = -8 are the roots/solutions/zeroes of the function. They are not the same as the factors.