Vertex and axis of symmetry

Mathematics

1 answer:

Furkat [3]2 years ago

5 0

Answer:

Vertex = (-3, -1)

Axis of Symmetry: x = -3

Step-by-step explanation:

The vertex is (-3, -1), the axis of symmetry is x = -3. The x-intercept is -2 and -4, the y intercept is 8, the domain is R, the range is [-1, inf.]

The function is increasing in {-3, inf.} and decreasing in {-inf., 3}

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Find the measure of the segment indicated.

julsineya [31]

Answer is QM = 18

You can find the length of QM by using Pythagorean theorem. See the attachment.

It is a quadrilateral with 4 equal congruent sides.

If SP = 30, so do the other 3 sides indicated by the tick marks on all 4 sides.

We will call side RQ = the hypotenuse
or side “c” = 30
We know RM is leg “b” = 24
Side “a” is our unknown QM

Our formula is
a^2 + b^2 = c^2

a^2 + 24^2 = 30^2

a^2 + 576 = 900

a^2 = 900 - 576

a^2 = 324

Take square root of both sides to solve a

a = 18

QM = 18