Vertex/X intercepts
Real life Quadratics
Simplify the Exponents
Perfect/Conjugate Roots
Solve me
100
(Tie With the Winner)
From vertex form a(x-h)2+k =y, What is the vertex?
(h,k)
100
What is the shape of a quadratic function?
U or a parabola
100
(Tie with the Winner) What part of a fractional exponent is the root?
the denominator
100
(Daily Triple) What is a perfect root?
2 roots that are exactly the same such as (x+2)^2
100
(Tie with the winner) Solve for the vertex.
y = 3(x-5)2+7
(5,7)
200
How do you find the vertex from a quadratic in standard form?
Complete the square and move to vertex form or
xv=-b/2a and plug back in for y.
200
(Daily Triple) If we were deciding who wins a high jump competition, What measurement of the quadratic would would be judging?
y of the Vertex
200
What does a negative exponent do?
Switches the position or moves it from top to bottom or tells us how many times to divide on by the base number.
200
What is a conjugate or reciprocal root?
2 roots that are exactly opposite, such as (x-2)(x+2)
200
Solve for the x intercepts.
(2x-3)(3x-4)=y
4/3 and 3/2
300
How do you find the x intercepts of a quadratic?
Setting y = 0 and solving the quadratic for x.
300
If you found that the the quadratic equation that charted your baseball throw had x intercepts of x=0 ft and x = 279 ft. How far did you throw the ball?
279 ft.
300
Rewrite the following as a root.
2^(5/4) or (fourth root of 2^5)= 2.37
300
How can we tell if a quadratic will have perfect square roots?
If the middle term is two times to square root of a*c.
300
Find the x intercepts of y = 2x2-8x+8
x=2
400
Find the x intercepts of y = 4x2-49.
x = +7/2,-7/2
400
(Daily Double)If a cliff diver dove off a cliff and his height off the ground was described by the equations, y = 120 -5x - 4.59x2 and x was time. What is the time it takes to hit the water.
Hint (Use Quadratic formula)
4.60 seconds
400
Simplify the following.
(m^(5/3))/8
400
Find the x intercepts of x2+14x+49? Is it a perfect square?
x = -7
Bonus. On a graph what point on the parabola is this?
400
Solve y = x2+6x-4 for y = 3
x = 7,1
500
Find the vertex of 3x2-18x+12.
(3,-15)
500
If you were to hit a golfing shot where you were standing beneath some low hanging trees at about 15 ft and the hole is 36 ft away. What would be your vertex and x intercepts?
x=0,36 and vertex =(18,15)
(Bonus Double)What would be your quadratic equation?
500
(Daily Double) Simplify the following with a base raised to a fractional exponent.
6^(1/40)
500
(Daily Double) Complete the square to find the x intercepts.
2x2+8x+17 = y
No solution (negative under the radical)
500
Find the vertex of y = 7x2-42x+3
(3,-60)