5.1
What is the definition of coefficient ?
This is the number multiplied by a variable in a polynomial.
What is the quadratic formula?
On your book page200
What is standard form?
y=a(x-p)2+q
What is the vertex?
This key feature of a parabola is the highest or lowest point on its graph
This point on a projectile quadratic graph tells the starting height of an object launched into the air.
What is the vertical (y) intercept
Is 1/x+3 is a polynomial and explain why.
No, because the variable has a negative exponent .
When will a quadratic equation have zero real solutions?
When the discriminant b2-4ac < 0.
For y = 2(x+3)(x-5), what are the x-intercepts of this parabola?
(-3,0) and (5,0)
For y=(x-3)2-1, what is the equation of the axis of symmetry?
x=3
What real-life information does the vertex give for an object thrown upward?
Maximum height and the time it reaches maximum height
Solve x2-7x+10=0 by factoring
What are x=2 and x=5
Find the discriminant of 3x^2+4x+2=0 and find the number of root(s) of this equation .
D=-8, so there are no real roots.
Given vertex (2,4) and a=-1, write the quadratic function in vertex form.
What is y=-(x-2)2+4
For y=x^2-6x+8, state the y-intercept of this parabola.
(0,8)
What event does the horizontal intercept represent for a projectile?
The object hits the ground
Solve 2(x-4)2 = 14.
x=4+71/2, x=4-71/2?
Solve 2x2+4x-5=0 with quadratic formula, exact form.
x=0.5(-2+141/2), x = 0.5(-2-141/2)
Convert y=(x-1)(x+5) from factored form into general form.
What is y=x2+4x-5
Given y=x2-6x+8, what are the x-intercepts of the parabola?
What are (2,0) and (4,0)
A rocket’s height model: h=-t^2+8t. At what time does it hit the ground?
t=8 seconds
Solve 2x2 -8x -5 =0 by completing the square.
x=2+261/2/2, x= 2- 261/2/2
Find the value of m such that mx2-8x+2=0 has one real repeated root.
m=8
A parabola has x-intercepts (-2,0) and (4,0), and passes through (0,-8). Find its vertex form .
y=(x-1)2-9
A parabola opens upward, has vertex (3,-1). If one point on the curve is (6,8), find its matching symmetric point.
(0,8)
Rectangle area: A=-w2+10w. What width gives the maximum area?
W=5