x-intercepts
Name the x-intercepts Y=(x)(x-2)
What is (0,0) and (2,0)?
y= (x+1)2 - 8
What is (-1, -8)?
What is the axis of symmetry of y = (x+2)(x-8)
What is x=3?
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters.
What is the height above the ground when the object is launched?
What is 58.8 m?
f(x) = ax2 + bx + c
standard form
Name the x-intercepts. y=x2 - 4
What is (-2,0) and (2,0)?
What is the vertex of the graph of y=(x+4)(x-4)?
What is (0,-16)?
What is the vertex of y=(x+1)2 - 2
What is (-1,-2)?
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters.
What is greatest common factor of the three terms in the trinomial? Hint: the resulting factor will have a leading coefficient of 1.
What is -4.9?
f(x) = a(x-h)2 + k
Vertex form
Name the x-intercepts
y=x2 - x - 2
What is (-1,0) and (2,0)?
Name the vertex x2 - 4x - 5 = f(x)
What is (2,-9)?
What is the transformation of y=(x-4)2 + 3 from the parent function of a quadratic?
What right 4 and up 3?
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters.
When does the object reach its maximum height?
What is 2 sec?
y = a ( x − p ) ( x − q )
intercept or factored form
Name the x-intercepts f(x) = 9x2+24x+16
What is x= -4/3 and -4/3? (repeated root)
Name the vertex 2x2+ 4x - 6 = y?
What is (-1,-8)?
Identify the maximum height reached by the object and the amount of time for the object to reach the maximum height. t is time in seconds and h is height in feet.
h(t) = -16t² + 200t + 25
What is 650 feet and 6.25 seconds?
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters.
What is the maximum height of the object?
What is 78.4 m?
y = - (x + 3)2
Explain why this can categorized as two different forms.
either vertex or intercept form bc the vertex is the x-intercept (this is a special pattern of a binomial squared)
Name the x-intercepts. y= (x-1)2 + 1
(this is a bit of a trick question)
What is None?
Is the the vertex of the parabola above, below, or the same as the y-intercept. f(x) = 4x2 - 8
same
You are waiting on the balcony of your apartment, as your friend, Ye, has gone out to buy you a pain au chocolat. When Ye returns, rather than walk to your apartment, he decides to toss your pain au chocolat to you. Thus, you are standing on your third‐story balcony with your hands 38 feet above the ground. If Ye throws the pain au chocolate with an initial velocity of 32 feet per second from 5 feet above ground, will you be able to catch it? Unfortunately, your downstairs neighbor is also hungry and will gladly take your treat. If your neighbor is standing at her two‐story balcony with her hands 20 feet above the ground, will she steal the pain au chocolat?
the highest point the pain au chocolat will reach is 21 feet, which is not high enough to reach me at 38 feet. Unfortunately, my neighbor will have a chance at stealing my treat because she is at 20 feet high.
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters.
How long before the object hits the ground after launch?
What is 6 seconds?
Rewrite as intercept form:
y = 3x2 +11x +6
what is y = (3x+2) (x +3)