Graph the quadratic function f(x)= -2x^2 + 6x - 2

Mathematics

2 answers:

inn [45]3 years ago

5 0

The answer is........

zhuklara [117]3 years ago

4 0

Answer:

see below for a graph

Step-by-step explanation:

The function can be rewritten to vertex form to aid in graphing.

f(x) = -2(x^2 -3x) -2

f(x) = -2(x^2 -3x + 2.25) -2 +4.50 . . . . . . add (3/2)^2 inside parentheses and subtract an equivalent amount outside parentheses

f(x) = -2(x -1.5)^2 +2.5

The vertex is located at (1.5, 2.5), and the vertical scale factor is -2. The point (3, -2) will be another point on the graph, along with the y-intercept (0, -2) and the vertex (1.5, 2.5).

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ANSWER THIS PLEASE ASAP

Talja [164]

Answer: a.) 72 of each type of animal, for a total of 216

b.) 16 grown cats, 4 kittens

Step-by-step explanation:

part a. It's a distribution (division) problem. The same number of each animal is distributed over some unknown number of troughs, but the total number of troughs adds up to 69. ( I hate to give this all away, as its a brilliant problem! )

Number of troughs for each animal type is How many needed by the number of animals per trough:

h/2 + c/3 + p/8 = 69

Since we are given "the same number of horses, cows and pigs" we can substitute "x" for all.

$\frac{x}{2} + \frac{x}{3} +\frac{x}{8} = 69$ Get a common denominator. 24 would work, 48 also.