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3 years ago

Which is the graph of f(x) = (x + 3)(x - 2

Mathematics

1 answer:

yanalaym [24]3 years ago

5 0

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x - 2) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).

The axis of symmetry is a vertical line located halfway between -3 and 2:

x = -1/2.

The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).

With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.

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If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function

Naddik [55]

Answer:

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left

In this question:

$f(x) = \sqrt{x}$

Vertically compressing by 1/2:

This is the same as multiplying the function by 1/2. So

$\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}$

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

7 0

3 years ago

Alright im feeling generous and ill give 100 points and brainliest to the person who wins

riadik2000 [5.3K]

Answer:

thank you and please have me win

Step-by-step explanation:

please give brainliest and a win

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8 0

3 years ago

Can someone pls help me find y

olga_2 [115]

Answer:

TH VALUE OF Y IS......98 DEGREES

Step-by-step explanation:

8 0

3 years ago

Simplify the expression by combining like terms 9x + 8 + 3x + 4

LUCKY_DIMON [66]

Answer:

11x + 12

Step-by-step explanation:

9x + 3x = 11x

8 + 4 = 12

8 0

3 years ago

Read 2 more answers

25= 5(3X-4)^1/3<br> PLEASE HELP AND SHOW WORK!<br> THANKS SM

Effectus [21]

Answer:

$x=43$

Step-by-step explanation:

Given equation:

$25=5(3x-4)^{\frac13}$

Divide both sides by 5:

$\implies 5=(3x-4)^{\frac13}$

Cube both sides:

$\implies 5^3=((3x-4)^{\frac13})^3$

$\implies 125=(3x-4)^{\frac33}$

$\implies 125=(3x-4)^1$

$\implies 125=3x-4$

Add 4 to both sides:

$\implies 129=3x$

Divide both sides by 3:

$\implies x=43$

8 0

2 years ago

Read 2 more answers

Which is the graph of f(x) = (x + 3)(x - 2​

Which is the graph of f(x) = (x + 3)(x - 2