What is the vertex of the graph of g(x)=|x-3|-3

Mathematics

1 answer:

Sedbober [7]3 years ago

3 0

Answer:

(3, -3)

Step-by-step explanation:

The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).

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Which of the following coordinates does this line pass through?

forsale [732]

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Step-by-step explanation:

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lesya692 [45]

Answer:

Step-by-step explanation:

The table shows a linear function.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

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m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 7) ← 2 ordered pairs from the table

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3 years ago

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stich3 [128]

Answer: (x + [-1], y + [1])

Step-by-step explanation:

<em>See attached. </em>We can draw, or picture it in our heads, what the reflection would look like. Then we can pick one (or multiple to test) points and see the translation.

We can also test with a set of points. B', (2, 4) becomes G in the transformation. G is at (1, 5)

(1 - 2, 5 - 4) -> (-1, 1)