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4 years ago

For the function f(x)=x^2, what effect will multiplying f(x) by 1/2 have on the graph?

1 answer:

5 0

For the function f ( x ) = x² we have the new function f 1 ( x ) = 1/2 x².
f ( x ) = a · x²
- If |a| < 1 the graph is compressed vertically by a factor of a.
- If |a| > 1 the graph is stretched vertically by a factor of a.
Here: a = 1/2 < 1
Answer:
C. The graph will be compressed vertically.

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Use The Alternate Interior Angles Theorem diagram to answer the question. Give the missing reason in this proof for the letter g

Serjik [45]

The missing reasons in the proof using the Alternate Interior Angles Theorem diagram that is given are:

a. Corresponding angles

b. Vertical Angles, and

c. Alternate interior angles

Two angles lying opposite each other along a transversal, and are within the two lines crossed by the transversal are referred to as alternate interior angles.

According to the Alternate Interior Angles Theorem, the two alternate interior angles are congruent to each other.

Let's state out our proof using the image given:

Statement 1: line l is parallel to line m

Reason: Given

Statement 2: $\angle 2 \cong \angle 6$

Reason: Corresponding Angles (both angles occupy the same corner, hence they correspond to each other. Corresponding angles have the same measure).

Statement 3: $\angle 4 \cong \angle 2$

Reason: Vertical angles (both angles are directly opposite each other as they share the same point, which makes them vertical angles. Vertical angles have equal measure).

Statement 4: $\angle 6\cong \angle 4$

Reason: Alternate Interior Angles (applying the transitive property which says if a = b, and b = c, then a = c, therefore, since $\angle 2 \cong \angle 6, $ and $ \angle 4 \cong \angle 2, $ then $ \angle 6 \cong \angle 4$ )

In conclusion, the missing reasons in the proof using the Alternate Interior Angles Theorem diagram that is given are:

a. Corresponding angles

b. Vertical Angles, and

c. Alternate interior angles

Learn more here:

brainly.com/question/18898800

4 0

2 years ago

2x - 4y = -8 Solve for y Need help ASAP!

goldenfox [79]

Answer:

y = 1/2x + 2

Step-by-step explanation:

2x - 4y = -8

Solving for y in steps:

2x - 4y + 8 + 4y= 4y
2x + 8 = 4y
x + 4 = 2y
y = x/2 + 4/2
y = 1/2x + 2

7 0

4 years ago

If a 6 mile race is divided into 1 3 of a mile sections, how many sections are there in the race?

arlik [135]

Hey there!

Here is your answer:

The proper answer to this question is "18 sections".

Reason:

Divide 6 and 1/3

6×3=18
1×1=1

18/1=18

Therefore it would be divided into 18 different sections.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

4 0

3 years ago

Charlie graphs the equation y= –12x+2 .

Luda [366]

Answer:

The y intercept of the line is 2

Step-by-step explanation:

The graph is not a straight line

the slope of the line is -12 not 12

the y intercept is usually known as c in the equation y=mx+c

and our c is 2

Hence y intercept is 2

4 0

3 years ago

What is x + 1 = 9 ?? fill in the x

zmey [24]

Answer:

x=8

Step-by-step explanation:

Cause 8+1 =9

4 0

3 years ago

Read 2 more answers