All categories

3 years ago

Please help, picture included!

Mathematics

1 answer:

Mariana [72]3 years ago

4 0

Check the picture, notice the domain in red.

recall that the domain is the values for the x-coordinate, whilst the range is the values for the y-coordinate.

You might be interested in

The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Savatey [412]

Answer:

$a\cdot b\cdot c=\frac{15}{4}$

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

$y-k=a(x-h)^2$

Substitute the values

$y-(-2)=a(x-(-3))^2=a(x+3)^2$

$y+2=a(x+3)^2$

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

$0+2=a(-1+3)^2=4a$

$a=2/4=1/2$

Now, using the value of a

$y+2=1/2(x+3)^2=1/2(x^2+6x+9)$

$y+2=\frac{1}{2}x^2+3x+\frac{9}{2}$

$y=\frac{1}{2}x^2+3x+\frac{9}{2}-2$

$y=\frac{1}{2}x^2+3x+\frac{9-4}{2}$

$y=\frac{1}{2}x^2+3x+\frac{5}{2}$

By comparing with

$y=ax^2+bx+c$

We get

$a=\frac{1}{2}, b=3, c=5/2$

$a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}$

$a\cdot b\cdot c=\frac{15}{4}$

7 0

2 years ago

Which equation represents the graphed function?

nadezda [96]

9514 1404 393

Answer:

y = 1/4x -2

Step-by-step explanation:

The line rises one unit from -2 to -1 as x changes from 0 to 4. The slope is ...

m = rise/run = 1/4

The y-intercept (b) is where the line crosses the y-axis, at y = -2.

The equation in slope-intercept form is ...

y = mx + b

y = 1/4x -2

8 0

3 years ago

Bro 100 points if u halp c========3

julia-pushkina [17]

Me after hearing someone cough on my $8 round trip flight to Italy.

8 0

2 years ago

Read 2 more answers

Indicate a general rule for the nth term of this sequence. -6b, -3b, 0b, 3b, 6b. . .

GREYUIT [131]

Answer:

a(n) = -16b + (n - 1)(3b)

Step-by-step explanation:

First term is -6b.

Common difference is 3b; each new term is equal to the previous one, plus 3b.

Formula for this arithmetic sequence is

a(n) = -16b + (n - 1)(3b)

4 0

2 years ago

How do you dilate a figure on the coordinate plane and determine its scale factor?

levacccp [35]

Answer:

All you have to do is scale up the coordinates of the plane by the factor. Multiply the values of each coodinate by the scale factor.

Step-by-step explanation:

3 0

3 years ago