The slopes of the original function y = |x| are m = 1 and m = -1 (m is the variable used to represent slope).
when you add a coefficient (number) in front of |x|, it will either make the slopes steeper or more flat. the larger the value of the coefficient, the steeper the slope will be (vice versa for a coefficient smaller than 1, which would make the slope more flat than the parent(original) function).
because these are absolute value functions, they will have two slopes. one slope for the end going up from left to right, and one for the end going down from left to right. this means that one slope must be positive and the other slope must be negative for each function.
with this in mind, the slopes of y = 2|x| are m = 2 and m = -2. the coefficient of 2 narrows the function by a factor of 2 (it is twice as narrow as the parent function). the same rules apply to y = 4|x| with the slopes of this function as m = -4 and m = 4 (it is 4 times narrower than the parent function).
with the fraction coefficients, the function is being widened. therefore, the slopes of y = 1/2 |x| are m = -1/2 and m = 1/2. the slopes of y = 1/5 |x| are m = -1/5 and m = 1/5.
E porque ya lo use y es facil
-13 and -14
They both are consecutive negative integers that multiply to 182.
Answer:
A. y = x² - 9x + 18
Step-by-step explanation:
The key thing to look for in this graph is the <u>y-intercept</u> (where the graph will hit the y-axis).
We can't see exactly where y-intercept is, but we know it is a positive number.
In a standard form quadratic equation:
<em>y = ax² + bx + <u>c</u></em>
'<em>c</em>' tells you what the y-intercept is.
The choices with positive y-intercept are <u>A</u> and <u>B</u>.
Again, we can't see exactly where y-intercept is, but we know it is not 1.
y = x² - 9x + 18
has a positive y-intercept that is not 1,
thus the answer is A.
