<img src="https://tex.z-dn.net/?f=y%20%3D%205%28x%20-%201%29%20%7B%20%7D%5E%7B2%7D%20-%205" id="TexFormula1" title="y = 5(x

All categories

Leokris [45]

3 years ago

{ }^{2} - 5" alt="y = 5(x - 1) { }^{2} - 5" align="absmiddle" class="latex-formula">

graph the equation

Mathematics

2 answers:

Gnesinka [82]3 years ago

7 0

Answer:

Step-by-step explanation:

This equation represents a parabola that opens up.

Comparing y = 5(x-1)^2 - 5 to y = a(x-h)^2 + k, we see that h = 1 and k = -5. Thus, we know that the vertex is (1, -5). Plot this point.

Next, find the y-intercept. Let x = 0 and find y: y = 5(0 - 1)^2 - 5 = 0. Thus, the y-intercept is at (0,0). Plot this point. Draw the axis of symmetry; it's the vertical line that passes thru the vertex: x = 1. Note that the y-intercept is 1 unit to the left of x = 1. Reflect the y-intercept across the axis of symmetry, x = 1, obtaining (0, 2). Plot this point. Now you have 3 points and know that the graph is symmetrical about x = 1. Draw a smooth curve through these three points.

Aleks [24]3 years ago

6 0

This is what the given equation looks like when graphed using a graphing calculator.

You might be interested in

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two

Oliga [24]

Let

x-------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of the rectangle is equal to

$A=x*y$

The area of the two congruent right triangles is equal to the area of the rectangle

$A=2*44=88\ in^{2}$

$88=x*y$ -------> equation A

$y=x-3$ -----> equation B

Substitute equation B in equation A

$x*[x-3]=88$

$x^{2} -3x-88=0$ --------> equation that can be used to solve for the length of the rectangle

Using a graph tool-------> solve the quadratic equation

see the attached figure

The solution is

$x=11\ in$ -----> the length of the rectangle

Find the value of y

$88=11*y$

$y=8\ in$ ----> the width of the rectangle

Statements

case A) The area of the rectangle is $88$ square inches

The statement is True

See the procedure

Case B) The equation $x*[x-3]=44$ can be used to solve for the dimensions of the triangle

The statement is False

Because, the equation $x*[x-3]=88$ can be used to solve for the dimensions of the triangle

case C) The equation $x^{2} -3x-88=0$ can be used to solve for the length of the rectangle

The statement is True

see the procedure

case D)The triangle has a base of $11$ inches and a height of $8$ inches

The statement is True

Because, the base of the triangle is equal to the length of the rectangle and the height of the triangle is equal to the width of the rectangle

case E) The rectangle has a width of $4$ inches

The statement is False

See the procedure

8 0

3 years ago

Read 2 more answers

Answer Mr léonard want to top up his his central heating oil tank

Pachacha [2.7K]

Answer:

step-by-step explanation:

4 0

3 years ago

5x−2.5+6x−3= ___ (2x−1) someone help me with this q. will mark brainliest~

cestrela7 [59]

Answer:

5.5

Step-by-step explanation:

So, this is a simple factoring problem. The answer is 5.5(2x-1). So, heres how we get that answer.

So, factoring is basically breaking down the problem into smaller parts. So once we simplify the problem, we can factor it.

Simplify by combining like terms: 5x+6x= 11x and -2.5-3=-5.5
Now we have 11-5.5=?
so, we need to have (2x-1) in our answer because the problem asks for that in the answer.
We need to find a number that satisfies the equation and answer
so, 5.5(2x) is 11x, and 5.5(-1) is 5.5.
5.5 satisfies the equation, therefore is the answer

3 0

3 years ago

How do you evaluate logarithms? Explain using an example or mathematical evidence to support your answer.

kenny6666 [7]

Answer: Explanation below.

Step-by-step explanation:

First of all you need to know how to convert a logarithm into an exponential expression. The property is:

$log_Bx=n$