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Ad libitum [116K]
3 years ago
15

The graph of the function f(x)= x2 − 4x + 6 is shown here. What is its axis of symmetry?

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

First, simplify the expression of the function f(x)=x^2-4x+6 highlighting the perfect square:

f(x)=x^2-4x+4-4+6=(x-2)^2+2.

Then find the vertwx of parabola. When x=2, f(2)=2 and the coordinates of the vertex are (2,2). The axis of symmetry passes through the vertex and is parallel to the y-axis. Therefore, its equation is x=2 (see attached graph for details).

Answer: x=2.

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(7, 5) and (-3, 4) written in slope intercept form
Rom4ik [11]

Answer:

y = x/10 + 43/10

Step-by-step explanation:

y - y1/ x - x1 = y2 - y1/ x2 - x1

y - 4/ x +3 = 5 - 4/7 + 3

y - 4 / x + 3 = 1/10

10(y - 4) = x + 3

10y - 40 = x + 3

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y = x/10 + 43/10

8 0
3 years ago
How to find out the independent variable and dependent variable from a graph?
I am Lyosha [343]

Answer:

The Axes. The independent variable belongs on the x-axis the(horizontal line) of the graph and the dependent variable belongs on the y-axis the (vertical line)

6 0
3 years ago
I need help with this geometry question asap!
Gnom [1K]

Answer:

  (a)  Theorem 9

Step-by-step explanation:

Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.

<h3>Analysis</h3>

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8 0
2 years ago
Miya flips a coin and rolls a 6-sided number cube labled 1-6 and records tge outcome. About how many times is she likely to flip
neonofarm [45]

Answer:

4 times

Step-by-step explanation:

Sample space :

6 sided cube = (1, 2, 3, 4, 5, 6)

Coin = (H, T)

Probability = required outcome / Total possible outcomes

Probability of head (H) = P(H) = 1 /2 = 0.5

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Probability of heads and 3 on a single try = p(H) * p(3) = 0.5 * 0.166666 = 0.083333

Hence, expected number of times this is likely to occur in 48 tries :

0.083333 * 48 = 4

4 0
3 years ago
Which expression is equivalent to y x 48?
Nostrana [21]

Answer: (y*40)+(y*8)

Step-by-step explanation:

7 0
2 years ago
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