All categories

4 years ago

For the function y=-2x^2 + 4x + 1, what are the coordinates of the vertex? Is it a maximum or

Mathematics

1 answer:

Len [333]4 years ago

6 0

Answer:

the max is (1,3) and the vertical intercept it (0,1)

Step-by-step explanation:

if you need step by step use photomath it helps.

You might be interested in

The sum of three consecutive numbers is 537. What is the 3rd number?

inn [45]

Answer:

180

Step-by-step explanation:

we can take this as

x+(x+1)+(x+2)= 537

3x+3= 537

3x= 537-3

3x= 534

x= 534/3

x= 178

so the three consecutive numbers would be

178 , 179 , 180

and the third number is 180

4 0

3 years ago

Determine whether the graph of the equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of th

Murrr4er [49]

$\bf x^2y^2+3xy=1\\\\
-------------------------------\\\\
\stackrel{\stackrel{\textit{test for x-symmetry}}{y=-y}}{x^2(-y)^2+3x(-y)=1}\implies x^2y^2-3xy=1\impliedby 
\begin{array}{llll}
\textit{function differs}\\
\textit{from original}\\
\textit{no dice}
\end{array}\\\\
-------------------------------\\\\$

$\bf \stackrel{\stackrel{\textit{test for y-symmetry}}{x=-x}}{(-x)^2y^2+3(-x)y=1}\implies x^2y^2-3xy=1\impliedby 
\begin{array}{llll}
\textit{function differs}\\
\textit{from original}\\
\textit{no dice}
\end{array}\\\\
-------------------------------\\\\
\stackrel{\stackrel{\textit{test for origin-symmetry}}{x=-x~~y=-y}}{(-x)^2(-y)^2+3(-x)(-y)=1}\implies x^2y^2+3xy=1\impliedby 
\begin{array}{llll}
origin\\symmetry
\end{array}$

so, recall, the function has symmetry when the yielded resulting function resembles the original function, after negativizing the variable(s).

Also recall that minus*plus is minus, and minus*minus is plus.

7 0

4 years ago

Where would an imaginary line need to be drawn to reflect across an axis of symmetry so that a regular pentagon can carry onto i

xz_007 [3.2K]

Vertically in the middle

8 0

3 years ago

Tina lost 3 pounds on the first week of her diet. She gained a pound on the second week, and then lost 2 pounds a week during ev

Debora [2.8K]

<span>answer is B. A Total of 24 pounds Tina lost in 13 weeks! </span>

7 0

4 years ago

Read 2 more answers

Solve the following equations <br>x-1=6/x

Whitepunk [10]

Answer:

or,x2-x=6

or,x2-x-6=0

or,x2-3x+2x-6=0

or,x(x-3)+2(x-3)=0

or,(x-3)(x+2)=0

so either x=3

or x=-2

3 0

4 years ago