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olganol [36]
2 years ago
8

Explain why it is helpful to know the basic function shapes and discuss some ways to remember them.

Mathematics
1 answer:
postnew [5]2 years ago
3 0
<h3>Explain why it is helpful to know the basic function shapes and discuss some ways to remember them. </h3>
  • Knowing the basic function shapes and discuss some ways to remember them is helpful because this is useful tools in the creation of mathematical models because we constantly make theories about the relationships between variables in nature and society. Functions in school mathematics are typically defined by an algebraic expression and have numerical inputs and outputs.
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How is the graph of y=2x^2+3 different from the graph of y=x^2-9x+20 shown below?
Pepsi [2]

Answer:

○ The graph of y = -2x² + 3 opens downward and is shifted up.

Step-by-step explanation:

According to the Quadratic Equation, <em>y = Ax² + Bx + C</em>, <em>C</em><em> </em>acts<em> </em>like a y-intercept, and in this case, since both graphs shift up [because both are positive values], we do not pay attention to those. Now, we come over to our <em>A</em>, which makes a BIG difference because both graphs open in opposite directions [one negative, one positive]. With this being stated, we have our answer.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

** Extended information on Parabolas

Opens down → -A

Opens up → A

5 0
3 years ago
Given that (3,9) is on the graph of f(x), find the corresponding point for the function. F(x)+1
Goryan [66]

Answer:

(4,10)

Step-by-step explanation:

Input: (3,9)

(3+1, 9+1)

Output: (4,10)

8 0
3 years ago
Read 2 more answers
Write the equations of two lines that are parallel to the line 3x+6y-5=0
Alja [10]

Answer:

X+2Y=7 and 4X+8Y=19

Step-by-step explanation:

Step 1: Write the equations in the form y=mx+c, where m represents the gradient.

In this case, gradient is equal to -0.5

Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5

You can make endless equations

5 0
3 years ago
When simplifying 4x^3-10x^2+6x/2x^3+x^2-3x, what are the term(s) that can be cancelled
brilliants [131]

Answer:

x can be cancelled

Step-by-step explanation:

we are given

\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}

Firstly, we will factor numerator and denominator

and then we can factor it

4x^3-10x^2+6x=2x(2x^2-5x+3)

4x^3-10x^2+6x=2x(2x+1)(x-3)

now, we can factor denominator

2x^3+x^2-3x=x(2x^2+x-3)

2x^3+x^2-3x=x(x-1)(2x+3)

now, we can replace it

\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}=\frac{2x(2x+1)(x-3)}{x(x-1)(2x+3)}

we can see that

both terms are having x common

so, x can be cancelled

So,

x can be cancelled

3 0
3 years ago
A snowboard originally costs $120, but it is on sale for 45% off. If a customer buying the snowboard has a coupon for $15.00 off
kotykmax [81]
51 dollars hope that helps
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