3x^2 + 6x - 10 = 0
3(x^2 + 2x) - 10 = 0
3[ (x + 1)^2 - 1 ] - 10 = 0
3(x+1)^2 - 13 = 0
so the vertex is at (-1,-13)
the roots will be same distance from x = -1
that is a distance 1.08 --1 = 2.08
so other root is approximately -1 -2.08 = -3.08
the other intercept is at (-3.08,0)
Answer: 1/2
Step-by-step explanation:
Answer:
14 is A
15 is B
Step-by-step explanation:
14 . the answer is a because first off the slope is negative so we can immediately eliminate B and D second of all the slope is 1/2 so we can eliminate D and get that the answer has to be a
15. answer is B for this one because first of all the slope is negative so we can immediately eliminate A and c and second of all the y-intercept would be 120 because 90 is what x=1 so we would have to add 30 to get what y would equal when x=0 if that makes sense
Answer:
-10°F, -13°F, and -21°F
Step-by-step explanation:
we are looking for a temperature that is less than -8
-10°F, -13°F, and -21°F are all less than -8
Using translation concepts, it is found that the equation of the transformed function is:
y = |x + 3| - 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The absolute value function is given by y = |x|, and has vertex at (0,0). After the transformations, the function has vertex (-3, -2), which means that:
- It was shifted 3 units to the left, hence x -> x + 3.
- It was shifted 2 units down, hence y -> y - 2.
Thus, the equation of the function is now given by:
y = |x + 3| - 2.
More can be learned about translation concepts at brainly.com/question/4521517
