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Tresset [83]
3 years ago
12

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.

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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
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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
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