All categories

3 years ago

Identify the vertex and the y-intercept of the graph of the function. y = –1.5(x + 2)^2

Mathematics

2 answers:

bagirrra123 [75]3 years ago

6 0

This is written in vertex form:-

y = a(x - b)^2 + c where (b, c) is the vertex.

Comparing the function in the question to the above:-

b = -2 and c = 0 so the vertex is at the point (-2, 0) answer

The y intercept occurs when x = 0 so here it is:-

-1.5( 0 + 2)^2 = -6

y intercept is at ( 0, -6) answer

Vitek1552 [10]3 years ago

4 0

Answer:

The vertex = (-2, 0)

The y-intercept of the equation is -6.

Step-by-step explanation:

Since, the vertex form of quadratic equation,

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

Where, (h,k) is the vertex of the equation,

Here, the given equation,

$y = -1.5(x + 2)^2$

$\implies y=-1.5(x-(-2))^2+0$

By comparing,

The vertex = (-2, 0)

Now, for y-intercept,

x = 0,

$y=-1.5(0+2)^2=-1.5(4)=-6$

Hence, y-intercept of the equation is -6.

You might be interested in

A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the n

Aleonysh [2.5K]

Answer:

In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792

Step-by-step explanation:

Here we have that the formula for population presented as follows;

$A = P(1+r)^t$

Where:

A = Population after growth

P = Original population = 3400

r = 5% = 0.05

t = Time = 17 years

Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;

$A = 3400 \times (1+0.05)^{17} = 7792.86$

Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.

Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.

6 0

3 years ago

Read 2 more answers

from a window 20 feet above the ground, the angle of elevation to the top of another building is 35 degrees. The distance betwee

NISA [10]

Answer:

56.4 ft

Step-by-step explanation:

The tangent of the angle relates the opposite side (height above the window) to the adjacent side (distance between buildings) in the right triangle that models this geometry.

Tan = Opposite/Adjacent

tan(35°) = (height above window)/(distance between buildings)

height above window = (52 ft)tan(35°) ≈ 36.4 ft

Added to the window height of 20 ft, the height of the other building is ...

20 ft + 36.4 ft = 56.4 ft

5 0

3 years ago

Choose the fraction that has not been reduced 10-19, 15-16,19-38,21-34

BartSMP [9]

19/38 is not reduces. Numerator and denominator can be divided by 19.
It can be reduced to 1/2

4 0

3 years ago

Suzanne is looking at taking out a personal loan. Opportunity Loans is offering her $1600 at 3.45% for 1 year, with interest com

AleksAgata [21]

Step-by-step explanation:

So the general formula for compound interest is $A = P(1+\frac{r}{n})^{nt}$ where r is the interest rate, t is the time in years, and n is the amount of compounds per year. So plugging in the values for both equations you'll get