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unknownhi
04.06.2020 •
Mathematics
Consider the function: f(x) = 2x^2 - 1.5x - 5 and its graph.
If the graph of f(x) is:
(i) first translated 2 units in the positive x direction and 3 units in the positive y
direction
(ii) then, stretched vertically by a factor of 2
(iii) and then reflected across the x-axis
What is the resultant function in standard form and its graph?
Solved
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Ответ:
f(x) = -4x² + 19x - 18
Step-by-step explanation:
i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)
f(x) = 2x² - 9.5x + 6
If it is then translated 3 units in the positive y, we add 3 to the input function to get:
ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:
iii) reflected across the x-axis
we multiply the parent function by –1, to get a reflection about the x-axis.
Ответ:
You will have to find out if JK ≅ MN
Step-by-step explanation:
SAS means you have 2 sides that are congruent that connect to make the one angle congruent.
Due to the fact that JL ≅ MR the sides that are left to make up the angles ∠J and ∠M