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andreanb9632
20.10.2020 •
Mathematics
How is the graph of the parent quadratic function transformed to produce the graph of y=-(2x+6)2 + 3?
O The graph is compressed horizontally by a factor of 2 shifted left 3 units, reflected over the x-axis, and translated
up 3 units
O The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated
up 3 units
O The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3 units, and translated up
3 units.
The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6 units, and translated up
3 units
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Ответ:
f(x)=x^2+12x+26
Vertex form of f(x) = a(x-h)^2 +k
We change f(x) into vertex form using completing the square method
We take half of square of middle term
middle term is 12
Half of square of 12 is
then 6^2 = 36
Add and subtract 36 to complete the square
The vertex form![f(x)= (x+6)^2 -10](/tpl/images/0121/2069/8d08b.png)