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lions [1.4K]
3 years ago
11

Determine whether the graph of the quadratic function y = –3x2 + 2x + 5 opens upward or downward. Explain.

Mathematics
1 answer:
givi [52]3 years ago
4 0

Answer:

The graph of the function opens downwards.

Step-by-step explanation:

The graph opens upward if the coefficient of x^2 is higher than 0.

But, the coefficient of x^2 (-3) is less than 0.

So the graph of the function opens downwards.

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A function of the form f(x)=ab^x is modified so that the b value remains the same but the a value is increased by 2. How do the
ANEK [815]

Answer:

The domain and range remain the same.

Step-by-step explanation:

Hi there!

First, we must determine what increasing <em>a</em> by 2 really does to the exponential function.

In f(x)=ab^x, <em>a</em> represents the initial value (y-intercept) of the function while <em>b</em> represents the common ratio for each consecutive value of f(x).

Increasing <em>a</em> by 2 means moving the y-intercept of the function up by 2. If the original function contained the point (0,x), the new function would contain the point (0,x+2).

The domain remains the same; it is still the set of all real x-values. This is true for any exponential function, regardless of any transformations.

The range remains the same as well; for the original function, it would have been y\neq 0. Because increasing <em>a</em> by 2 does not move the entire function up or down, the range remains the same.

I hope this helps!

3 0
3 years ago
I NEED HELP ASAP! WILL MARK BRAINLIEST!!!!!
madreJ [45]
What is the actual question? If it is asking what the rate represents, it represents speed since speed since speed is the rate of change of distance over a period of time.
3 0
3 years ago
in 1998 the postal rate to mail the package was 40 cents for the first ounce and 25 cents for each additional ounce or part of a
lutik1710 [3]
$2.08

Have a great day!
6 0
4 years ago
What is the finance charge?
malfutka [58]

Answer:

A finance charge is the cost of borrowing money, including interest and other fees. It can be a percentage of the amount borrowed or a flat fee charged by the company. Credit card companies have a variety of ways of computing finance charges.

Step-by-step explanation:

4 0
4 years ago
Is it possible to construct a triangle with side lengths of 11 cm, 15 cm, and 21 cm? Why or why not?
PilotLPTM [1.2K]
There is only one requirement for three sides in order to be considered possible in constructing a triangle. That requirement is
<em>The sum of any of the two sides must be greater than the third side</em>

11 + 15 = 26      >      21
11+ 21 = 33       >      15
15 + 21 = 16      >      11

Since all of the combination fulfill the requirement, yes we could create the triangle with those sides.
8 0
3 years ago
Read 2 more answers
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