Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (8, - 1), thus
y = a(x - 8)² - 1
To find a substitute (0, - 17), the coordinates of the y- intercept into the equation.
- 17 = a(0 - 8)² - 1
- 17 = 64a - 1 ( add 1 to both sides )
- 16 = 64a ( divide both sides by 64 )
a = = -
y = - (x - 8)² - 1 → D
The answer is b (-3,3) can i have brainliest
The average rate of change of the function, over the given interval is 2.
This question is incomplete, the complete question is:
What is the average rate of change of f(x) = 2x+10, if this function interval are x = -3 to x = 0.
<h3>What is the average rate of change over the interval?</h3>
The average rate of change of f(x) over the interval [a,b] is expressed as;
Given that;
- f(x) = 2x + 10
- Interval: [ -3, 0 ], a = -3 and b = 0
We substitute our values into the expression above.
Therefore, the average rate of change of the function, over the given interval is 2.
Learn more about average rate of change: brainly.com/question/23715190
#SPJ1
Answer:
d) 5 - 2√6
Step-by-step explanation:
We need to simply (√3 - √2)². Assume that √3 is 'a' and √2 is 'b'. At the present time, the given term looks like: (a - b)². And we know that (a - b)² = a² + b² - 2ab. Apply the same rule in (√3 - √2)².
→ (√3)² + (√2)² - 2(√3)(√2)
Square root can be written as ½ and square of ½ means 1 as 1/2 × 2 is 1. So,
→ 3 + 2 - 2√6
→ 5 - 2√6
Option (D) is the correct option among the other options.
Answer:
Please check the formatting when posting. I'm assuming these are the equations:
y=x^2 - 2
y=−x
Step-by-step explanation:
We can either graph the equations or solve them. I use graphing - see the attachment. The lines intersect at (-2, 2) and (1,-1)
<u>1. Graphing</u>
See attached graph
(-2, 2) and (1,-1) are the intersection points
<u>2. Solving</u>
y=x^2 - 2 Use y=−x in this equation:
-x = x^2 - 2
0 = x^2 + x - 2
0 = (x+2)(x-1)
x = -2 and +1
(-2, 2) and (1,-1) are the intersection points