What transformations change the graph of f(x) to the graph g(x) f(x)=-7 x 2 g(x)=-35x2+5
do u still need help :)
yes
the parent function is x^2, it seems that x^2 is becoming (x+7)^2, this transformation is like F(x)=x^2 => F(X+7)=(x+7)^2 the result of this is shifting the graphs origin 7 units left The addition of 9 is an addition outside the parent function which shifts it up or down. therefore g(x) is a linear transform of 7 units left and 9 units up
wow thanks for explains it do you think you can help me with another one like this?
sure, hit me with ur best shot. lol
what transformation change the graph f (X) =x2 g(x)= (x+3)2 - 7
it is going to shift lift.
no sorry wait
shift up which is a Vertical shift
think of \((x+3)^2-7\) as \((x-(-3))^2-7\). When you look at it this way, you can clearly tell that the x-intercept is negative and to the let, therefore the graph shifts left by 3 units.
left*
so I was right the first time @jhanny that it would shift left
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