Vocabulary
Every quadratic equation has a U-shaped graph called this.
What is parabola?
x2 - 3x + 1 = 0
What is standard form?
Determine if it is a min or max. Name the axis of symmetry. y=(x-1)2 + 1
What is Min and x=1?
Name the vertex y= (x-3)2 + 4
What is (3,4)?
Find the quadratic equation with x-intercepts 1 & 5 and passes through a point (2, -3) in intercept form
y = (x-5)(x-1)
When a quadratic equation is written in this form y = ax2 +bx + c
What is the standard form?
5x2 + x - 1 = 0
What is standard form?
Determine if it is a min or max. Name the axis of symmetry. y=x2 - 4
What is Min and x=0?
y=x2 - 16
What is (0,-16)?
Convert y=1/4(x+2)2 - 3 to standard form
y = 1/4x2 + 1x - 2
The highest or lowest point on a parabola.
What is the maximum or minimum?
y = 2 (x - 5)² + 6
What is Vertex form?
Determine if it is a min or max. Name the axis of symmetry. y=x2 +6x -12
What is Min and x=-3?
y= (x+1)2 - 8
What is (-1, -8)?
Find the equation of a parabola in intercept form that is concave down, has a vertex at the (0, 5) and one of its roots at (2,0)
y = -5/2(x-2)(x+2)
This is the number before the x2 that determines whether a parabola opens up or down.
What is "a" or the leading coefficient?
y = 2(x-4)(x+1)
What is intercept form?
Determine if it is a min or max. Name the axis of symmetry. y=-2x2 - 8x - 2
What is Max and x=-2?
Name the vertex x2 - 4x - 5 = 0
What is (2,-9)?
Convert y= x2 - 8x + 19 to vertex form
y=(x-4)2 + 3
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
y = - 1/2 (x + 7)2 - 4
What is vertex form?
Determine if it is a min or max. Name the axis of symmetry. y= -(x+1)2 + 1
What is max and x=-1?
Name the vertex 2x2 + 4x - 6 = 0?
What is (-1,-8)?
Write the equation whose leading coefficient is -3 and has zeros at 2 & -4 in vertex form
y = -3(x+1)2-5