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2 years ago

A parabola and its focus are shown on the graph. The vertex of the parabola is at (0,0).

Mathematics

2 answers:

Lelu [443]2 years ago

5 0

Answer: y=-3

Step-by-step explanation: y = -3 Step-by-step explanation: the length to vertex is equal

natulia [17]2 years ago

4 0

Answer:

y = -3

Step-by-step explanation:

the length from directrix to vertex is equal to the length from focus to the vertex.

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Math graph equation. (Picture.)

vladimir1956 [14]

Answer:

y = -2x + 3 is the required equation

Step-by-step explanation:

From the graph we will get two ordered pairs

If we see that When x=0 then y=3 and when x = 1 then y=1

Now from this we can find the slope of the Graph

So slope of graph = (y2 - y1) / (x2-x1)

=(1-3) / (1-0)

=-2

Slope = m = -2

Now the equation is

y = mx + b

We have to find the value of b

as we have two ordered pairs we can take any of it to find the value of b because line passes through those points

taking (0,3) as a point

y= mx + b

put values

3 = -2*(0) + b

b=3

Now the equation of the line in this form is

y = mx + b

which is

y = -2x + 3

5 0

3 years ago

Aiden refills three token machines in an arcade. He puts twice the number in machine A as in machine B, and in machine C , he pu

Sonja [21]

It is a possibility of being 16 or 5/6

7 0

3 years ago

Read 2 more answers

Here is a system of equations. (y=x-6 y=-x-2 Graph the system. Then write its solution. Note that you can also answer "No soluti

sladkih [1.3K]

Answer:

Example system with no solution

We're asked to find the number of solutions to this system of equations:

\begin{aligned} y &= -3x+9\\\\ y &= -3x-7 \end{aligned}

=−3x+9

=−3x−7

Without graphing these equations, we can observe that they both have a slope of -3−3minus, 3. This means that the lines must be parallel. And since the yyy-intercepts are different, we know the lines are not on top of each other.

There is no solution to this system of equations.

Example system with infinite solutions

We're asked to find the number of solutions to this system of equations:

\begin{aligned} -6x+4y &= 2\\\\ 3x-2y &= -1 \end{aligned}

−6x+4y

3x−2y

=−1

Interestingly, if we multiply the second equation by -2−2minus, 2, we get the first equation:

\begin{aligned} 3x-2y &= -1\\\\ \blueD{-2}(3x-2y)&=\blueD{-2}(-1)\\\\ -6x+4y &= 2 \end{aligned}

3x−2y

−2(3x−2y)

−6x+4y

=−1

=−2(−1)

In other words, the equations are equivalent and share the same graph. Any solution that works for one equation will also work for the other equation, so there are infinite solutions to the system.

Step-by-step explanation:

7 0

3 years ago

Given a quadratic function in vertex form:

Alja [10]

Answer:

See below

Step-by-step explanation:

Part A

A vertical stretch takes place when $a\cdot f(x)$ given that $|a| > 1$

Part B

A vertical compression takes place when $a\cdot f(x)$ given that $0 < |a| < 1$

Part C

A vertical stretch is different than a horizontal compression:

In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor

Part D

A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of $a$ must be negative such that $a\cdot f(x)$ as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.

7 0

2 years ago

What is the average rate of change of the function f(x)=2(3)x from x = 2 to x = 4?

Dvinal [7]

this is kinda easy and im gonna assume that the 4 is a exponent cuz f(2)=2(3)^4 then f=81

4 0

3 years ago