All categories

3 years ago

If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be? A. h(x) = 4(x + 9)2 – 17

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

6 0

Answer:

Step-by-step explanation:

If you move down 1 unit, you simply subtract 9 units from the given equation.

g(x) = 4x^2 - 16 - 1

g(x) = 4x^2 - 17

Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.

The wrong way to do it is in answer A.

B is the correct answer

h(x) = 4(x - 9)^2 - 17

You might be interested in

120 km/h speed of a car is = m/s<br>tell me the answer

steposvetlana [31]

Answer:

33.3333 m/s

hope this answer helps you.....

8 0

2 years ago

A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix?

SOVA2 [1]

The standard equation for a parabola that opens upward parallel to the y-axis is x2=4ay, where a = distance from the vertex to focus. Vertex is at origin(0,0)
4a=2
a=2/4
a=1/2 or 0.5
the coordinate of the focus is (0, 1/2)
the equation of the directrix is y=-1/2

5 0

3 years ago

Read 2 more answers

A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of 8 ft2. Angle ACB me

choli [55]

Volume of the pyramid:
V = 1/3 · B · h
B = 8 ft²
tan 30° = height / 7√3
1/√3 = height / 7√3
height = 7 ft
V = 1/3 · 8 · 7 = 18.67 ft³ ≈ 19 ft³
Answer : D ) 19 ft³

3 0

3 years ago

Read 2 more answers

Problem page the sum of two numbers is 67 and the difference is 11 . what are the numbers?

pav-90 [236]

Try this:
1. sum of numbers is x+y=67, the difference between them is x-y=11
2. it is possible to make up and resolve the system:
$\left \{ {{x+y=67} \atop {x-y=11}} \right. \ =\ \textgreater \ \ \left \{ {{x=39} \atop {y=28}} \right.$

8 0

3 years ago

A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from

Leona [35]

Answer:

$A' =(-y,x)$

Step-by-step explanation:

Given

Represent point A as thus;

$A = (x,y)$

Required

Determine the new position of A, when rotated counterclockwise

The new position will be denoted as A'

When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

$Pos = (y,x)$

Then, y is negated to give A'

$A' =(-y,x)$

5 0

3 years ago