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Oksi-84 [34.3K]
3 years ago
5

Consider this graph of a quadratic function.

Mathematics
1 answer:
amid [387]3 years ago
3 0

Answer:

Step-by-step explanation:

The shape of the graph is called a PARABOLA.

The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to (-4).

[Parabola is opening upwards and the lowest point is it's vertex (2, -4). Therefore, range of the function will be y ≥ -4]

When x = -1,

Value of the function 'f' will be,

f(x) = 5

[Graph passes through (-1, 5)]

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Which steps should be used to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x
dalvyx [7]

Answer:

The steps are are explained below.

Step-by-step explanation:

Given:

The equation of the line is given as:

y-4=\frac{1}{3}(x+2)

The above equation is in point-slope form y-y_1=m(x-x_1).

Therefore, on comparing, we get

x_1=-2,y_1=4,m=\frac{1}{3}

So, the slope is one-third and point is (-2,4).

Now, following are steps for plotting the graph:

i. Plot the point (-2,4).

ii. Since the slope is one-third, it means we need to move 3 units to right from the point (-2,4) and then 1 unit up. So, after translating 3 units right and 1 unit up we mark the second point which is (-2+3,4+1)\rightarrow )(1,5).

iii. Draw a line passing through the points (-2,4) and (1,5) to get the graph of the line

Thus, the graph is drawn below.

8 0
3 years ago
Read 2 more answers
Use an algebraic equation to find the measure of each angle that is represented in terms of X
professor190 [17]

Answer:

16, 74

Step-by-step explanation:

3x +10 + 12x +50 = 90

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15x = 90 -60

15x = 30

x = 30/15

x = 2

3x + 10 = 3*2 +10 = 6 +10 = 16

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5 0
3 years ago
Which symbol makes 3 13/28 and 3 17/30 a true sentence
mixas84 [53]

Answer:

Step-by-step explanation:

<em>13/28 = 195/420</em>

<em>17/30 =  238/420</em>

<em />

<em>So that means that 3 17/30 > 3 13/28</em>

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4 years ago
Write and solve an equation to find the value of x and a missing angle in each triangle below. Use the number bank to help you c
jolli1 [7]

Answer:

1. x = 30

REC = 130

Step-by-step explanation:

2x + 70 = 4x + 10

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you try the others

Good luck :D

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2 years ago
Write an equation of the line passing through the point (1,5) that is parallel to the line y= -3x+5
Semenov [28]

Answer:

y=-3x+8

Step-by-step explanation:

y=mx+5, m=-3, x=1, y=5

5=(-3)(1)+b

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4 0
3 years ago
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