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olga_2 [115]
2 years ago
12

given a polynomial function f(x) = -x^2 + 2x + 1 and an exponential function g(x) = 2x, what key features do f(x) and g(x) have

in common
Mathematics
1 answer:
hoa [83]2 years ago
4 0

This shows that both functions have the same y-intercept

<h3>Polynomial and exponential functions</h3>

Given the following functions as shown:

f(x) = -x^2 + 2x + 1

g(x) = 2^x

The y-intercept occurs at x = 0

For f(x) =  -x^2 + 2x + 1

f(0) =  -0^2 + 2(0) + 1

f(0) = 1

For the g(x),  the y intercept is caculated as:

g(0) = 2^0
g(0) = 1

This shows that both functions have the same y-intercept

Learn more on intercept here: brainly.com/question/1884491

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The school store sells Midville High T-shirts for $25 each and Midville High gym shorts for $15 a pair. One afternoon they sold
Step2247 [10]
60 t-shirts and 44 shorts

You can get this by setting up a system of equations:

x + y = 104
25x + 15y = 2160
5 0
3 years ago
PLZ HELP!!!!
goldenfox [79]

Answer:

False

Step-by-step explanation:

A nonlinear function that can be written on the standard form

ax2+bx+c,wherea≠0

is called a quadratic function.

All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is

y=x2

picture51

The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate

x=−b2a

The y-coordinate of the vertex is the maximum or minimum value of the function.

a > 0                   parabola opens up                    minimum value

picture52

a < 0                    parabola opens down              maximum value

picture53

A rule of thumb reminds us that when we have a positive symbol before x2 we get a happy expression on the graph and a negative symbol renders a sad expression.

The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation

x=−b2a

The y-intercept of the equation is c.

picture54

When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.

Example

Graph

x=x2+2x+1

Make a table of value for some values of x. Use both positive and negative values!

x y = x2 + 2x + 1

-3 4

-2 1

-1 0

0 1

1 4

2 9

3 16

Graph the points and draw a smooth line through the points and extend it in both directions

picture55

Notice that we have a minimum point which was indicated by a positive a value (a = 1). The vertex has the coordinates (-1, 0)  which is what you will get if you use the formula for the x-coordinate of the vertex

x=−b2a=−22⋅1=−1

and that the line has an y-intercept of (0, 1) which could have been determined from the c-value which is 1.

If you have an absolute value of a that is greater than 1 the parabola will be narrower than the parental quadratic function. And the opposite that if you have a absolute value of a that is less than 1 then the parabola will be wider than the parental quadratic function.

6 0
3 years ago
Given that the triangles shown below are similar, what is the value of x?
Alja [10]
The value of x is 14
6 0
3 years ago
(3) GEOMETRY IMAGE BELOW. 20 POINTS!!
Levart [38]

Answer:

option D

Step-by-step explanation:

option D is the correct answer of this question.

the length of the mid segment was 42 option A

( previous question ) according to me and it is right so please recheck your previous answer as it was option A not D

<em><u>hope </u></em><em><u>this</u></em><em><u> will</u></em><em><u> be</u></em><em><u> helpful</u></em><em><u> to</u></em><em><u> you</u></em><em><u>.</u></em>

<em><u>and </u></em><em><u>mark </u></em><em><u>my</u></em><em><u> answer</u></em><em><u> as</u></em><em><u> brainlist</u></em><em><u> plzzzz</u></em><em><u>.</u></em>

5 0
2 years ago
Read 2 more answers
Square root of 756 simplified
WARRIOR [948]
The answer is 6√21 if I'm right
6 0
2 years ago
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