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3 years ago

Explain why the graph of the equation g(x) = -(x + 1 ) - 3 would be a parabola opening downward.

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Answer: Because the a-value is negative.

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a(x - h)² + k where

"a" is the vertical stretch
-a is a reflection over the x-axis
h is the horizontal shift (positive = right, negative = left)
k is the vertical shift (positive = up, negative = down)

Given: g(x) = - (x + 1)² - 3

↓

a= -1

Since the a-value is negative, the parabola will be reflected over the x-axis which will change the curve from (U-shaped) to (∩-shaped).

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True or false: if your Exppression contains more than one set of parenthesis, you should evaluate all of them before doing anyth

mr_godi [17]

Answer:

true

Step-by-step explanation:

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2 years ago

Read 2 more answers

A line passes through the point (4,8) and has a slope of 3/2. Write an equation in slope-intercept form this line.

Tcecarenko [31]

Answer:

3x-2y=-4 is the equation of the slope intercept line.

Step-by-step explanation:

The passing through point (4,8)=(x1,y1)

Slope(m)=3/2

the equation is

or (y-y1)=m(x-x1)

or (y-8)=3/2(x-4)

or 2y-16=3x-12

or 2y-3x=16-12

or 2y-3x=4

or -(3x+2y)=4

or 3x-2y=-4

This is the Final equation of that line..

6 0

3 years ago

Which choice is equivalent to 4 square root 8

den301095 [7]

Answer:

Step-by-step explanation:

............................ ....

7 0

3 years ago

Factor each completely

vampirchik [111]

Answer:
C
You have to do it step by step
x•x-5x+6x-30

6 0

3 years ago

The area of a triangle is 20 cm², and the

grandymaker [24]

Answer:

Heavenly, we need the forumula for the area of a triangle, do you know it?

Step-by-step explanation:

Area of a triangle is (1/2 ) * B*H

where B = base

H = height

then

A = 1/2* B * H

A is given to be 20

B = b

H = b+4

plug all those into the formula,

20 = (1/2)*b*(b+4)

use your algebra skillz :P

20 = 1/2 *( $b^{2}$ + 4b)

20*2 = $b^{2}$ + 4b

40 = $b^{2}$ + 4b

0 = $b^{2}$ + 4b-40

rewrite the above so it's in x format

$x^{2}$ + 4x -40 = 0

use the quadratic formula to find x , and for our problem, remember that x represents the base, or b, but don't mix it up with the b in the quadatic fomula, with the b of the triangle, which is the base, they are differnt "b"s :P

X = (b± $\sqrt{b^{2}-4*a*c }$ ) / 2*a

a = 1

b = 4

c = -40

x = (4± $\sqrt{4^{2}-4*1*(-40) }$ ) /2*1

x = ( 4± $\sqrt{16+160}$ ) / 2

x = (4± $\sqrt{176}$ ) / 2

x = (4±13.266499)/2

x= 2±6.633249

x = 2 + 6.633249 = 8.633

b= 8.633 cm

5 0

2 years ago