Solving/Factoring
x² +5x -14 =0
-7, 2
Factor x²-25
(x+5)(x-5)
What are the 3 other words for solutions
zeros, roots, and x-intercepts
x²-5x+6=0
2,3
Each graph of a quadratic equation always has what? (Name at least 2 things)
Vertex, Axis of Symmetry, U shape, etc.
Where is the axis of Symmetry located for this equation?
f(x)=-(x+3)² +16
x = -3
in a table, how can you determine the zeros without graphing
find the coordinate points where y=0
6x²-11x+3=0
1/3, 3/2
How do you find the vertex points from a standard form equation? Hint: 2 steps
Find the Axis of Symmetry (x value of the vertex), then use it to find the y value of the vertex by plugging it into the equation.
What determines if the parabola is graphed aiming up or aiming down. (explain)
a value - if negative, aims down. if positive, aims up.
What is the formula to find the vertex from standard form?
-b / 2a
3x²-20x-7=0
-1/3,7
What do you call the turning point of a parabola
vertex
When graphing quadratic equations, how will the graph look like if the first coefficient is a negative number?
upside down U - parabola aimed down like a frown
solve by square roots
4x²-64=17
y= + or - 9/2
Factor x²+8x+16
(x+4)(x+4) or (x+4)^2
Parabolas are ____________ figures, because for every point, but the vertex, there is a counterpoint.
symmetric
On a graph, if the vertex is located at (5,0), how many solutions will it have?
1 solution
Where does the parabola cross the x-axis for a "no solution" problem?
It doesn't.
solve by square roots
3x²-4 =140
x = + or - 4 SR 3