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deja163
22.01.2020 •
Mathematics
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 − 6x + 6?
left 3 units, down 3 units
right 3 units, down 3 units
left 6 units, down 1 unit
right 6 units, down 1 unit
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Ответ:
So g(x) = (x-3)^2-3
Going from x^2 to (x-3)^2-3 means we do two things:
A) shift 3 units to the right, which is what the x-3 does
B) shift 3 units down, due to the -3 at the end
So the final answer is choice B
See the attached image for a comparison of the two graphs. Note the color coding. Also note the vertex points A and B, which are (0,0) and (3,-3) respectively. To go from point A to point B, we move 3 units to the right and 3 units down. This confirms what choice B is saying.
Ответ:
Characteristic of the axis of symmetry:
* It is the line of symmetry of a parabola that divides a parabola into two equal halves that are reflections of each other about the line of symmetry.
* It intersects a parabola at its vertex.
* It is a vertical line with the equation of![x = \frac{-b}{2a}](/tpl/images/0236/5559/051ff.png)
Given the quadratic equation:
Compare above equation with general quadratic equation
to find the values of a and b;
then the value of a= -2 and b = 12
Then, the axis of symmetry is given by:
......[1]
Substitute the value of a and b in [1],
therefore, the axis of symmetry of
is, x = 3