All categories

3 years ago

When does a parabola open upward

Mathematics

2 answers:

RUDIKE [14]3 years ago

8 0

Answer:

If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.

Step-by-step explanation:

Sidana [21]3 years ago

4 0

Answer:

y=ax^2+bx+c

When "a" is positive, opens upward.

When "a" is negative, opens downward.

You might be interested in

Help!! plz help to solve!

artcher [175]

You can solve all of these by using the distance formula. I have shared it below.

4 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Novay_Z [31]

Answer: $3+\sqrt{2}$

Step-by-step explanation:

Given the following expression shown in the picture:

$\frac{7}{3-\sqrt{2} }$

You need to use a process called "Ratinalization".

By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.

Then, in order to simplify the expression, you can follow the following steps:

Step 1. You need to multiply the numerator and the denominator of the fraction by $3+\sqrt{2}$ , which is the conjugate of the denominator $3-\sqrt{2}$ .

Step 2. Then you must apply the Distributive property in the numerator.

Step 3. You must apply the following property in the denominator: $(a+b)(a-b) = a^2 - b^2$

Therefore, applying the procedure shown above, you get:

$=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}$

Step 4. You can observe that the expression can be simplified even more. Since:

$\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}$

You get:

$\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}$

3 0

3 years ago

Prime factorazation of 13

Neporo4naja [7]

Answer:

13 = 13

Step-by-step explanation:

13 is a prime, so 13 is its only prime factor.

4 0

3 years ago

G−9=−19 What does g=???

Free_Kalibri [48]

Answer:

g=-19+9

g=-10

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which equation represents a line that is perpendicular to the line y= 1/4x - 1

kirill [66]

Y = 1/4x - 1....the slope here is 1/4....but for a perpendicular line we need a negative reciprocal slope...all that means is " flip " the slope and change the sign. 1/4....flip it....4/1.....change the sign....-4/1 or just -4. So our perpendicular line will have a slope of -4. The only one in ur answer choices with a slope of -4 is D.....so ur answer has to be D.

6 0

4 years ago

Read 2 more answers