Ask question

Ask question

All categories

2 years ago

9

Find the parabola through

1 answer:

Anni [7]2 years ago

3 0

Answer:

y = - 3x² - 24x - 60

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) = (- 4, - 12 ), thus

y = a(x + 4)² - 12

To calculate a substitute (- 7, - 39) into the equation

- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )

- 27 = 9a ( divide both sides by 9 )

- 3 = a

y = - 3(x + 4)² - 12 ← in vertex form

Expand (x + 4)²

y = - 3(x² + 8x + 16) - 12

= - 3x² - 24x - 48 - 12

y = - 3x² - 24x - 60 ← in standard form

= - 3(x²

You might be interested in

If the coefficient of determination is 0.25 and the sum of squares residual is 180, then what is the value of SSY?

Gennadij [26K]

Answer:

And then $SSY=SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2 =240$

C. 240

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

If we assume that we have $k$ independent variables and we have $j=1,\dots,j$ individuals, we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2$

$SS_{regression}=SS_{model}=\sum_{j=1}^n (\hat y_{j}-\bar y)^2$

$SS_{error}=\sum_{j=1}^n (y_{j}-\hat y_j)^2 =180$

And we have this property

$SST==SSY=SS_{regression}+SS_{error}=SSR+180$

If we solve for SSR we got:

$SSR= SSY-180$ (1)

And we know that the determination coefficient is given by:

$R^2 = \frac{SSR}{SSY}$

We know the value os $R^2= 0.25$ and we can replace SSR in terms of SSY with the equation (1)

$R^2 =0.25= \frac{SSY-180}{SSY}= 1-\frac{180}{SSY}$

And solving SSY we got:

$\frac{180}{SSY}=1-0.25=0.75$

$SSY= \frac{180}{0.75}=240$

And then $SSY=SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2 =240$

C. 240

7 0

3 years ago

matt is standing on top of acliff 305 feet above a lake. the measurement of the angle of depression to a boat on the lake is 42.

Alex17521 [72]

Answer:

Matt is 338.7 feet.

Step-by-step explanation:

4 0

2 years ago

Box one Options. ( Are, Are not ) Box two Options ( Is equal to, Is not equal to ). PLEASE HELP!!!!!

natita [175]

Answer:

are not
is not equal to

Step-by-step explanation:

p(headache) = 0.45

p(headache | taking a vitamin) = 0.15/0.50 = 0.30

The two probabilities <em>are not equal</em>.

4 0

3 years ago

Help???<br> Its a two step inequality problem. I dunno what X equals too.

Verizon [17]

Answer:

$x \geq -1$

Step-by-step explanation:

$-4x + 2 \geq -6x$

Add $6x$ to both sides:

$-4x + 2 + 6x \geq -6x + 6x$

$2x + 2 \geq 0$

Subtract 2 from both sides:

$2x + 2 - 2 \geq 0 - 2$

$2x \geq -2$

Divide both side by 2:

$\frac{2x}{2} \geq \frac{-2}{2}$

$x \geq -1$

5 0

2 years ago

Read 2 more answers

I need help ASAP thanks!!

Genrish500 [490]

Theorem

The measure of an exterior angle of a triangle equals the sum of measures of the remote interior angles.

Angle STV is an exterior angle of triangle SRT.

The two remote interior angles to exterior angle STV are angles S and R.

Since the triangle is isosceles, with sides ST and TR equal, angles S and R are equal, so they both measure 27 deg.

<STV = 27 + 27

<STV = 54

8 0

2 years ago