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
Find the zeros of the function y=(x-2)(x+3)
x = 2, -3
simplify the expression
3 sqrt 3 -4 sqrt 3
-sqrt 3
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
(2, 0)
simplify the radical
sqrt 75 +sqrt 27
8 sqrt 3
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
Find the zeros of the function y=x2+5x+6
x=-2, -3
multiply the radicals
sqrt6 *sqrt2
2sqrt3
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
Find the vertex of the function y=x2+14x-51; try to complete the square.
(-7, 51)
multiply the radicals
4(3sqrt2 +2sqrt2)
20sqrt2
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
Solve for the zeros - use the quadratic formula
x2-5x-14=0
x=7, -2
multiply the radicals
3sqrt3(4-3sqrt5)
12sqrt3-9sqrt15
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