Vocabulary
Every quadratic equation has a U-shaped graph called this.
What is parabola?
Name the form the equation is written in. y=(x-2)(3x+1)
What is standard form?
Name the vertex y= (x-3)2 +4
What is (3,4)?
Describe the transformation of the equation to the parent function. y=1/3(x-5)2
What is vertical shrink and right 5?
Name the form the equation is written in. y = 2 (x - 5)² + 6
What is Vertex form?
Name the x-intercepts y=x(x-2)
What is (0,0) and (2,0)?
Name the vertex y= (x+1)2 - 8
What is (-1, -8)?
Graph the equation. Must include vertex and the x-intercepts. y = (x+2)(x-2)
What is graph on board?
When a quadratic equation is written in this form y = ax2 +bx + c
What is the standard form?
Determine the value of a, b and c in the equation y = 4x2 - x + 9.
What is a=4, b=-1 and c = 9?
Name the y-intercept. y=x2 +2x - 4
What is (0, -4)?
Name the vertex. y=(x+4)(x-4)
What is (0,-16)?
Describe the transformation of the equation from the parent function. y= -5(x+1)2 - 2
What is reflect over x-axis, vertical stretch, left 1 and down 2?
This is the number before the x2 that determines whether a parabola opens up or down.
What is "a", the leading coefficient?
Given x-intercepts (-2, 0) and (3, 0), and a = 2, write the equation of the parabola in factored form.
What is y=2(x+2)(x-3)?
Name the x-intercepts y=x2-x-2 (hint- factor 1st)
What is (-1,0) and (2,0)?
Name the vertex of x2-4x -5=0 (Hint-complete the square)
What is (2,-9)?
Graph the equation. Must include vertex, and at least one point on each side. y=(x-4)2 + 3
What is graph on board.
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
Given the vertex (1, -5), and a = -3, write the equation of the parabola in vertex form.
What is y=-3(x-1)(x+5)?
Name the x-intercepts of y=x2 -1 (hint-factor 1st)
What is (1, 0) and (-1,0)?
Name the vertex of x2+4x-6=0? (Hint-Complete the square)
What is (-2, -10)?
Graph the equation. Must include vertex, and at least one point on each side. y = x2 - 6x + 9
What is graph on board