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statuscvo [17]
3 years ago
7

Find the axis of symmetry and the vertex and graph the following: f(x)=(x+2)(x-4)

Mathematics
1 answer:
algol [13]3 years ago
8 0

something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.

\bf f(x) = (x+2)(x-4)\implies 0=(x+2)(x-4)\implies x = \begin{cases} -2\\ 4 \end{cases} \\\\\\ \boxed{-2}\rule[0.35em]{7em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}\stackrel{\downarrow }{1}\rule[0.35em]{10em}{0.25pt}\boxed{4}

so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.

since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.

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Answer:

B

Step-by-step explanation:

The correct answer is to go 4 units right (the direction is opposite to the sign) and 3 units up. The up and down direction is the same number as after the function.

Red: Parent Function y = ln(x)

Blue: 4 units right. 3 units up.

Answer: B

6 0
3 years ago
True or False: The value of r represents the reference angle when plotting a point in polar coordinates.
Anarel [89]
The answer to the statement above would be false. The value of r does not represent the reference angle when plotting a point in polar coordinates. Instead, it represents the polar distance instead of the angle. The reference angle is represented by <em>t.</em>
8 0
3 years ago
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what is the perimeter of triangle PQR vertices P(-2, 9), Q(7,-3), and R(-2, -3) in the coordinate plane?
kipiarov [429]
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6 0
3 years ago
I need help in this section.
Phoenix [80]

Answer:

\frac{1}{45}

Step-by-step explanation:

There are

2 yellow

3 magenta

5 blue

marbles in the bag.

So total of 2 + 3 + 5 = 10 marbles

We have to multiply the probability of yellow on first pick by the probability of yellow on second pick (WITHOUT REPLACEMENT).

We denote P(Y1) as probability of yellow on first draw &

P(Y2) as probability of yellow on second draw

Thus,

P(Y1) = 2/10 = 1/5  [since 2 yellow and 10 total marbles]

Now,

P(Y2) = 1/9  [since now 1 yellow is taken out and NOT replaced, so we have 1 yellow remaining and total 9 marbles]

Now, we multiply:

P(Y1) * P(Y2) = 1/5 * 1/9 = 1/45

The probability is  \frac{1}{45}

6 0
2 years ago
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
antoniya [11.8K]
We can solve this system using elimination:

(x+y=24)3
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3x+3y=72
-(3x+5y=100)
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We can check our answer by plugging this into both of the original equations:

10+14=24
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30+70=100
100=100

Therefore, there are 10 3-point questions and 14 5-point questions.

7 0
2 years ago
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