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3 years ago

Sketch the graph of y = (x + 3)2 – 4 and identify the axis of symmetry.

Mathematics

1 answer:

Sloan [31]3 years ago

4 0

Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.

Explanatio: This can be found by looking at the basic form of vertex form:

y = (x - h)^2 + k

In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).

It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

i hope this helps u

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3 years ago

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3 years ago

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4 years ago

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Mars2501 [29]

Answer:

$16^\circ, 88^\circ, 76^\circ$

Step-by-step explanation:

Given a triangle.

One of the angles is $8^\circ$ more than 5 times of one angle.

Third angle is $4^\circ$ more than the difference of two angles.

To find:

The angles.

Solution:

Let the first angle = $x^\circ$

As per question statement, second angle = 5 $x^\circ$ + $8^\circ$

And third angle = 5 $x^\circ$ + $8^\circ$ - $x^\circ$ + $4^\circ$ = $(4x+12)^\circ$

Using triangle sum property that the sum of all the internal angles of a triangle is always equal to $180^\circ$ .

$x+5x+8+4x+12 = 180\\\Rightarrow 10x+20=180\\\Rightarrow 10x = 160\\\Rightarrow x = 16$

Therefore, the first angle = $x^\circ = 16^\circ$

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