Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?

Mathematics

2 answers:

Eduardwww [97]3 years ago

8 0

Answer:

Step-by-step explanation:

Refer to picture.

When graph of y = x is transformed to y = x - 13,

U can visualise it by drawing the before and after transformed graphs to compare in order to deduce the answer.

From the picture, you will realise that when x is unchanged, I'm this case I'm using points x=0 and x=13, the value of the y coordinate in the transformed graph (y = x-13) actually decreased by 13 units as compared to the original graph of y=x.

Hence the graph actually got translated 13 units in the direction of negative y axis which is option D

krek1111 [17]3 years ago

5 0

The answer is D where the graph is y = x and it is decreased by 13

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Triangle ABC has a right angle at angle c and pounts e,d and f are midpoints. Line df = 3 and line segment ab= 10. What is the l

Leni [432]

See the attached figure.
========================
AB = 10 , FD = 3
∵ D is the midpoint of AB, and F is the mid point of CB
∴ FD // AC , FD = 0.5 AC
∵ Δ ABC is a right triangle at C
∴ FD ⊥ BC
∴ BD = 0.5 AB = 5
∴ in Δ FDB ⇒⇒ BF² = BD² - FD² = 5² - 3² = 16
∴ BF = √16 = 4
∵ F is the mid point of CB
∴ CF = BF = 4 , and CB = 2 BF = 2*4 = 8
∵ D is the midpoint of AB, and E is the mid point of AC
∴ DE // CB , and DE = 0.5 CB = 0.5 * 8 = 4

∴ T<span>he length of line ED is 4
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