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Korolek [52]
3 years ago
10

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero c

omma five and turning at the point two comma one and contin Courtesy of Texas Instruments (2 points) y = (x - 2)2 + 1 y = (x - 1)2 + 2 y = (x + 2)2 + 1 y = (x + 2)2-1
Mathematics
2 answers:
serg [7]3 years ago
7 0

Answer:

y = (x - 2)² + 1

Step-by-step explanation:

Gnerela equation of a parabola in vertex form:

y = a(x - h)² + k

where (h, k) is the vertex

From the description of the graph:

  • the parabola passes through (0,5)
  • the parabola has a vertex at (2,1)

Replacing into the general equation:

y = a(x - 2)² + 1

5 = a(0 - 2)² + 1

5 - 1 = a*4

4/4 = a

1 = a

Then, the equation is: y = (x - 2)² + 1

Aleonysh [2.5K]3 years ago
4 0

Answer:

y = (x - 2)² + 1

Step-by-step explanation:

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Check the picture below.

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3 years ago
Which line is a linear model for the data? ​
mestny [16]
The bottom right.
The line best fit is usually the line that follows the trend of dots in the scatter plot. In the other 3, you can tell that there seems to be no trend between either the line or the dots.
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3 0
3 years ago
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.0 and 52.
Pavlova-9 [17]

Answer:

0.15 or 15%

Step-by-step explanation:

Since lengths are uniformly distributed, the probability that a class period runs between a two exact times is:

P(x_1\leq x \leq x_2)=\frac{x_2-x_1}{b-a}

In this case, a = 47.0 and b = 52.0 minutes.

The probability that a given class period runs between 50.25 and 51.0 minutes is:

P(50.25\leq x \leq 51.0)=\frac{51.0-50.25}{52-47} \\P(50.25\leq x \leq 51.0)=0.15=15\%

The probability is 0.15 or 15%.

7 0
3 years ago
a builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps. How many borders are ne
Ne4ueva [31]
<h2>Number of boards required is 24</h2>

Step-by-step explanation:

A builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps.

\texttt{Length of 1 board = }6\frac{1}{4}in\\\\\texttt{Length of 1 board = }\frac{6\times 4+1}{4}=\frac{25}{4}in

We need to build a fence that is 150 in long​.

Length of fence = Number of boards required x Length of 1 board

150=\texttt{Number of boards required }\times \frac{25}{4}\\\\\texttt{Number of boards required }=\frac{150\times 4}{25}\\\\\texttt{Number of boards required }=6\times 4=24

Number of boards required = 24

5 0
3 years ago
Charles begins finding the volume of a trapezoidal prism using the formula a = one-half(b1 b2)h to find the prism's base area. a
Orlov [11]

The volume of the trapezoidal prism having side lengths x, (x+2), (x+4) and height of 2x is 2x³+6x² option first is correct.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of the trapezoidal prism can be given:

\rm V=\frac{1}{2} (a+b)\times h \times L

Where V = The volume of the trapezoidal prism:

Length of the trapezoid L = x

Top width  a = (x+2)

Base width  b = (x+4)

Height of the trapezoidal prism  h = 2x

\rm V=\frac{1}{2} (x+2+x+4)\times 2x \times x

\rm V=\frac{1}{2} (2x+6)2x^2\\\\\rm V= (2x+6)x^2\\\\\rm V= (2x^3+6x^2)

Thus, the volume of the trapezoidal prism is  \rm (2x^3+6x^2)

Learn more about the volume here:

brainly.com/question/16788902

8 0
2 years ago
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