All categories

3 years ago

The coordinates of the turning point of the graph of

Mathematics

1 answer:

musickatia [10]3 years ago

4 0

Answer:

(x + 4), (y + 9)

Step-by-step explanation:

y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.

The turning point of y = x^2 is at the origin (0, 0).

So the transformation is 4 units to the right and 9 units upwards:

(x + 4), y+ 9).

You might be interested in

Given the polynomial, 8x^2 + 3x - 5, identify the following:

vovikov84 [41]

Answer:

Part A) The polynomial has three terms

Part B) The terms are $8x^{2} , 3x\ and\ -5$

Part C) Is a 2nd degree polynomial

Part D) The name of the polynomial is a 2nd degree trinomial

Step-by-step explanation:

we know that

Polynomials can be classified two different ways - by the number of terms and by their degree.

we have

$8x^{2} +3x-5$

The polynomial has three terms

The terms are

$8x^{2} , 3x\ and\ -5$

therefore

The polynomial is a trinomial

The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

The term is $8x^{2}$

The highest exponent is the 2 so this is a 2nd degree polynomial

therefore

The name of the polynomial is a 2nd degree trinomial

8 0

4 years ago

Solve for the values of x and y: y = 3x - 5 ........(i) and y = -x + 7 ........(ii)

Paraphin [41]

Answer:

x= 3, y= 4

Step-by-step explanation:

y= 3x -5 -----(i)

y= -x +7 -----(ii)

Substitute (i) into (ii):

3x -5= -x +7

3x +x= 7 +5

4x= 12

x= 12 ÷4 (÷4 on both sides)

x= 3

Substitute x= 3 into (ii):

y= -3 +7

y= 4

6 0

3 years ago

Name the following aldehyde: CHO A. 1,4-dimethylethanal B. 3,6-dimethylheptanal C. 1,6-dipropylheptanal D. 2,5-dimethylheptanal

navik [9.2K]

Answer:

c. 1,6-dipropylheptanal

4 0

3 years ago

I GIVE BRAINLIEST FOR CORRECT ANS

Amanda [17]

Answer:

True

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the vertex of the function f(x) = x2 + 12x?

Sophie [7]

We can start by figuring out the axis of symmetry.

y = x² + 12x = x (x + 12)

So roots are x = -12 or 0

Therefore axis of symmetry is x = (-12 + 0) / 2 = -6

We got x-coordinate of vertex. Now plug in x=-6 to solve for y.

y = (-6)² + 12(-6) = 36 - 72 = -36

Therefore vertex is (-6, -36).

7 0

3 years ago