Description
Unformatted Attachment Preview
Purchase answer to see full attachment
Explanation & Answer
Alright!I've completed the quiz and solved the questions of the quiz and submitted the quiz work to dropbox. and here's the worksheet and the quiz submitted.😊
MA105
W2 Assignment
2/25/2020
Name: Jalisa Wade
W2 Assignment
Please complete the follow problems neatly. Clearly label each problem, show all work, and use
Microsoft Word’s equation editor to properly format all mathematics.
1. Identify the x- and y-intercepts of 𝑦 = |𝑥 + 1| − 3
x-intercepts
y-intercepts
Sol: Sol: To find x-intercept, put y = 0 and solving for x, To find y-intercept, put x = 0 and solving for
we get
y, we get
0 = |𝑥 + 1| − 3
𝑦 = |0 + 1| − 3
3 = |𝑥 + 1|
𝑦 = |1| − 3
𝑥 + 1 = −3 , 𝑥 + 1 = 3
𝑦 =1−3
𝑥 = −3 − 1 , 𝑥 = 3 − 1
𝑦 = −2
𝑥 = −4 , 𝑥 = 2
Hence, the y-intercept is 𝑦 = −2
Hence, the x-intercepts are 𝑥 = −4, 𝑥 = 2
2. Use algebraic tests to check 𝑦 = 3𝑥 3 for symmetry with respect to:
(a) x-axis
(b) y-axis
Sol: Sol: To check symmetry w.r.t x-axis, we replace y To check symmetry w.r.t y-axis, we replace x
with −𝑦 and if the equation remains
with −𝑥 and if the equation remains
unchanged then it is symmetric otherwise
unchanged then it is symmetric otherwise not.
not. So
So
3
−𝑦 = 3𝑥
𝑦 = 3(−𝑥)3
3
𝑦 = −3𝑥
𝑦 = −3𝑥 3
The equation is not as same as original
The equation is not as same as original
eq...