Mathematics: Find the x-intercepts of the parabola with vertex (1,-17) and y-intercept (0,- write your answer in (x1,y1) , (x2,y2).

Find the x-intercepts of the parabola with vertex

Ответ:

coolkason

13.03.2022

Mathematics

To solve this problem you must apply the proccedure shown below:

1. You have that the standard form of the equation for a parabola is:

$y=a(x-h)^{2}+k$

Where (h,k) is the vertex

2. Substitute the values shown into the equation:

$y=a(x-1)^{2} -17$

3. Now, substitute y=-16 and x=0 to calculate :

$-16=a(0-1)^{2} -17\\ a=1$

4. Then, the equation of the parabola is:

$y=(x-1)^{2} -17$

5. To calculate the x-intecept must be y=0 . Substitute it into the equation and solve for :

$0=(x-1)^{2} -17\\ x^{2} -x-16=0\\ x=4.53; x=-3.53$

The answer is: (4.53,0),(-3.53,0)

0,0(0 оценок)

Ответ:

anferneebcoleman

31.07.2020

Mathematics

Pythagorean triples are 3 whole numbers such that a^2 + b^2 = c^2
the biggest number must be the 'c' because it is across from the 90 degree angle and therefore the longest side.
6^2 + 8^2 ? =? 10^2
36 + 64 ? =? 100
100 = 100
this is true so 6,8,10 is a pythagorean triple.
5^2 + 12^2 ? =? 13^2
25 + 144 ? =? 169
169 = 169
this is true so 5,12,13 is a pythagorean triple.

0,0(0 оценок)

Find the x-intercepts of the parabola with vertex (1,-17) and y-intercept (0,- write your answer in (x1,y1) , (x2,y2).

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question