Answer:
1. Rational.
Step-by-step explanationD'accord. Ainsi, la flèche ou le pointeur doit pointer dessus. Si ne pointe pas, que. Découvrez-le
Option A is not a function because in the domain of the x its have -1 twice so its not a function
Using translation concepts, the algebraic equation that matches the graph is given by:
y = |x - 1| - 1
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the function y = |x| is:
- Shifted one unit right, hence x -> x - 1.
- Shifted one unit down, hence y -> y - 1.
Thus the algebraic equation that matches the graph is given by:
y = |x - 1| - 1
More can be learned about translation concepts at brainly.com/question/4521517
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Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
A because just multiply 1/4 by 16 and u get 4