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3 years ago

Plot the vertex and the axis of symmetry of this function on the provided graph. f(x) = (x + 2)2 − 6

Mathematics

1 answer:

Nookie1986 [14]3 years ago

3 0

Answer:

See attached image

Step-by-step explanation:

This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.

The vertex coordinates are therefore: (-2,-6)

The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.

See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.

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Elise and her dad are planning to attend the state fair. An adult ticket is $21.00. The price of an adult ticket is $10.00 more

solong [7]

Answer:

C. two thirds x + 10 = 21

Step-by-step explanation:

Given

Price of adult ticket = $21.00

Let x be the price of student ticket

Then

two third of the student ticket will be:

$\frac{2}{3} x$

The statement $10.00 more than two third of student ticket:

$\frac{2}{3} x+10$

As we are given in the question that the adult ticket price is $21.00 and the second explanation is th equation formed by the given statement

So, both will be equivalent

$\frac{2}{3} x+10 = 21$

Solving this equation for x will give us the price for the student ticket.

Hence,

C. two thirdsx + 10 = 21 is the correct answer ..

3 0

3 years ago

What is the value of x ??

ruslelena [56]

Answer:

Step-by-step explanation:

The Tangent-Secant Exterior Angle Measure Theorem states that if a tangent and a secant or two tangents/secants intersect outside of a circle, then the measure of the angle formed by them is half of the difference of the measures of its intercepted arcs. Basically, what that means here is that $x$ equals half of the difference of $30\textdegree$ and the measure of the unlabeled arc.

First, we need to find the measure of the unlabeled arc, since we can't find $x$ without it. We know that the measure of the full arc formed by the circle is $360\textdegree$ , so the measure of the unlabeled arc must be $360-30-100-100=130\textdegree$ by the Arc Addition Postulate.

Now, we can find $x$ . Using all of the information known, we can solve for $x$ like this:

$\\x=\frac{1}{2} (130\textdegree-30\textdegree)\\=\frac{1}{2} (100\textdegree)\\=50\textdegree$

Hope this helps!

5 0

2 years ago

Can someone help Plz

MArishka [77]

Answer:

D = 67 inches

Step-by-step explanation:

The trend line is y = x+2 where x is the height

y = 65+2

y = 67

4 0

3 years ago

Read 2 more answers

What is the slope of a line that is parallel to y=3/4x+2

k0ka [10]

A line that is parallel to another has exactly the same slope as the other.

so a parallel line to that line above, will have the same slope hmmm what is the slope of <span>y=3/4x+2 anyway?

well, notice, since it's already in slope-intercept form </span> $\bf y=\stackrel{slope}{\cfrac{3}{4}}x~~\stackrel{y-intercept}{+2}$