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3 years ago

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x-3)

Mathematics

2 answers:

masya89 [10]3 years ago

6 0

B. the graph of g(x) is the graph of f(x) translated 3 units left .

Margaret [11]3 years ago

4 0

we have

$f(x)\\g(x)=f(x-3)$

we know that

the rule of the translation of f(x) to g(x) is

$(x,y)-----> (x+3,y)$

that means

The translation is $3$ units to the right

therefore

<u>the answer is the option A</u>

The graph of g(x) is the graph of f(x) translated $3$ units right

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Find the x-coordinates of the points where the graph crosses the x-axis.<br> y = (x - 3)(x + 8)

sleet_krkn [62]

Answer:

The x-coordinates of the points are x = 3 and x = - 8.

Step-by-step explanation:

We have to find the x-coordinates of the points where the graph of equation y = (x - 3)(x + 8) crosses the x-axis.

Now, the x-intercept of a function implies that y = 0 {Because on x-axis, y-value is zero}

Hence, (x - 3)(x + 8) = 0

⇒ (x - 3) = 0 and (x + 8) = 0

⇒ x = 3 and x = - 8

Therefore, the x-coordinates of the points are x = 3 and x = - 8. (Answer)

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3 years ago

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3 years ago

Question 3 (1 point)

Sindrei [870]

Answer:

Step-by-step explanation:

(3+6+3)•9-(3•2)-(3•2)

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3 0

3 years ago

What is the slope of the line that goes through the points (-4,2) and (8,5)?

trapecia [35]

Hello,

y = ax + b where a is the slope

We have A(-4 ; 2) and B(8 ; 5)

$a = \frac{yb - ya}{xb - xa} = \frac{5 - ( - 4)}{8 - 2} = \frac{9}{6} = \frac{3 \times 3}{3 \times 2} = \frac{3}{2}$

→ Slope : 3/2

4 0

2 years ago

Joe works as a busboy making $7 per hour and as a theater usher making $9 per hour. Let b be the number of hours he works as a b

Vilka [71]

Answer:

The inequality describing the situation is:

$7b+9u>1500$

Step-by-step explanation:

Joe works as a busboy at the rate of = $7 per hour

Let the number of hours he works as a bus boy this month be = $b$ hours

∴ Amount Joe would make this month working as a busboy = $\$7\times b=\$7b$

Joe works as a theater usher at the rate of = $9 per hour

Let the number of hours he works as a theater usher this month be = $u$ hours

∴ Amount Joe would make this month working as a theater usher = $\$9\times u=\$9u$

Total amount Joe would make this month = $\$(7b+9u)$

His goal is earn more than $1500 this month.

∴ The situation can be represented in the following inequality:

$7b+9u>1500$

6 0

3 years ago