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Level 396

Graph Square Root & Cubic Root Functions


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when graphing use the points
for squaring 0,1,4 and for cubing -1, 0,1
there is a vertical stretch
what happens to the graph |a| when it gets bigger?
there is a vertical shrink
what happens to the graph when |a| when it gets closer to zero?
what does 'h' do?
it translates the graph 'h' unites horizontally
what does 'k' do?
it translates the graph 'k' units vertically
The domain and range is always all real numbers
What is always the domain and range of a cube root function?
Domain = x ≥ -6
f(x) = (x + 6)∧½
g(x) = ³√(x - 1)
Domain = All real numbers
h(x) = 2³√(x + 2)
Domain = All real numbers
Domain = x ≥ 3
g(x) = 2√(x - 3)
y≥ 4
F(X)=3√(x−3) +4
x≥3
F(X)= 3√(x−3) +4
horizontally
will the graph be translated horizontally or vertically?
vertically
will the graph be translated horizontally or vertically?
Y=
If you wanted your calculator to graph your function, what button would you press to plug it in?
a³√x-h +k
|a| gets bigger than there is a vertical stretch
(ALPHA) (WINDOW) (6)
If you need to fill the power of the root, what buttons would you press on your calculator?