vertex/zeros
what is the axis of symmetry for the function f(x)=x2+8x+16
axis of symmetry: x= -4
write a function that has the given transformations: vertical shift up by 1
g(x)=x2+1
using the equation h(t)=-16t2+24t+1, find the height after 1 second.
9 feet
if you are asked to find...
the maximum height of an object
y-value of the vertex
state the transformation applied to the parent function: f(x): x2+3
vertical shift up by 3
what is the vertex of the function f(x)=x2-4x+4
vertex: (2,0)
write a function that has the given transformations: vertical shift down by 6
g(x)=x2-6
using the equation h(t)=-16t2+24t+1, find the maximum height the all could travel.
10 feet
if you are asked to find...
how long will it take for an object to reach a maximum/minimum
x-value of the vertex
state the transformations applied to the parent function: g(x)=(x-4)2
horizontal shift right by 4
does the function f(x)=x2-4x+3 have a maximum or minimum?
write a function that has the given transformations: vertical shrink of 1/3
g(x)=1/3x2
use h(t)= -4.9t2+5t+8 and find how many seconds it takes for the object to hit the ground?
1.89 seconds
if you are asked to find...
when an object will hit the ground
zeros by factoring, using the quadratic formula, or taking the square root
state the transformations applied to the parent function: g(x)=-x2
reflection over x-axis
what is the y-intercept of the function f(x)= x2+8x+16
y-intercept: (0,16)
write a function that has the given transformations: horizontal shift right 7 units
g(x)=(x-7)2
use h(t)= -4.9t2+5t+9 and find how many seconds it takes for the object to hit the ground?
1.958 seconds
if you are asked to find...
when an object will reach a certain height
x-value when the equation is equal to that height
state the transformations applied to the parent function: g(x)=3x2+2
vertical stretch by 3, vertical shift up by 2
what are the x-intercepts of the function f(x)= x2-4x+3
x=3 and x=1
write a function that has the given transformations: reflection over x-axis, vertical stretch by 3, horizontal shift left by 2
g(x)=-3(x+2)2
what is the maximum height a ball could travel using the equation: h(t)=-16t2+32t+48.
64 feet
if you are asked to find...
the height of an object after a certain time
y-value after substituting the time for x
state the transformations applied to the parent function: g(x)=-1/2(x-4)2
reflection over x-axis, vertical shrink by 1/2, horizontal shift right by 4