@mandolino
Sorry for that
server problems
I'm still getting emails from like 7:34
weird
HW 1.7/prolem10: f(x)=-(x+7)^2+5
ok
a) The "parent function" is f(x)=x^2. This is like the simplest square function possible
So if there was x^4 and x^2 the "parent function" would be x^2?
b) The transformations of y=a(x-h)^2+k are h horizontal k vertical a<0 x-axis reflection in the case of you rproblem b) you have horizontal shift of 7 units right; vertical shift of 5 units up; refection in the x-axis
re. you question: parent functions for polynomials are often taken to be "power function" that is of the form y = x^n where n is a positive integer.
for example: y=x^2 is the parent function for a transformations such as y=-x^2; y=(x+2)^2; y=x^2+5; etc.
Ok i get it
y=x^4 might be the parent function for transformations such as: y=2x^4 or y=(x+5)^4 or y=x^4-10 etc
Can you see your HW in WS? problem 1.7/10c
Yes
which sketch is the answer?
I would guess C, but I honestly dont no
Hey I made a mistake when I wrote 7 units right: the x+7 is x-(-7) so it is 7 units left... sorry about that
Which graph is it? a | b === c | d
B?
correct. the vertex is normally at (0,0) the "x+7" shifts the graph 7 units left the "+5+ shifts the graph 5 units up the negative in from of the parentheses makes the parabola open downward (x-axis reflect)
Ok so when its an X- axis reflection its going to lay on the x-axis?
d) g(x)=-f(x+7)+5 the f(x) is x^2... see how the "-" the "x+7" and the "+5" fit
or pass through
Well the parent y=x^2 looks like this |dw:1318984276411:dw|
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