MATHEMATICS HIGH SCHOOL

What is the vertex of f(x)=5x^2+20x-16

Answers

Answer 1

Answer:

Answer:

Vertex of given quadratic function $f(x)=5x^2+20x-16$ is (-2,-36)

Step-by-step explanation:

Given function $f(x)=5x^2+20x-16$

We have to find the vertex of the given function $f(x)=5x^2+20x-16$ .

The standard quadratic function is represented by $f(x)=a(x-h)^2+k$ ,

Where (h,k) represents the vertex and a ≠ 0.

If a is positive, the graph opens upward, and if a is negative, then it opens downward.

We first write the given equation in standard form ,by using completing square,

We know $(a-b)^2=a^2-2ab+b^2$

First taking 5 common from function, we have,

$f(x)=5(x^2+4x-(16)/(5))$

Comparing we have, a = x and

-2ab= +4x ⇒ -2b = 4 ⇒ b = -2

Add and subtract b $b^2=4$ , we get,

$f(x)=5(x^2+4x+4-4-(16)/(5))$

On simplifying, we have,

$f(x)=5((x+2)^2+(-20-16)/(5))$

$f(x)=5((x+2)^2+(-36)/(5))$

We get, $f(x)=5((x+2)^2)-36$

On comapring with standard equtaion , we have h = -2 and k = -36

Thus, vertex of given quadratic function $f(x)=5x^2+20x-16$ is (-2 ,-36)

Answer 2

Answer: the vertex is (-2,-36)

Related Questions

Mark works at a popular electronics retail store. He earns a fixed income of $18 an hour and a 5% commission on the sales he makes. Let's say, y = earnings h = number of hours worked s = amount of sales Which of these equations correctly indicates how much Mark earns in a day? A : y=18h+0.5s B : y=18h+0.05s C : y=h/18+5s D : y=h/18+s/5
The factors of m2 + 12m + 35 are ( ) and ( ). NextReset
Find all solution of the equation. y=-x y=xlnx
75 + ( - 50 ) + 250 + (- 150) + 50 = 175 ft A. What three numbers in the equation represent in an increase in elevation? B. Use the same sign to add these three integers together. C. What two numbers in the equation represent a decrease in elevation? D. Use the sign to add these two integers together. E. Add the resulting integers to determine the sum of the equation that describes the hikes in engage in elevation.
Please help me in this with the steps.

I need help please help me

Answers

A because the price went up after a 35%

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Answers

The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

The Correct answer is A I took the test

Step-by-step explanation:

Graph (1,1), (1,2), (1,3), (1,4)

Answers

Answer:

There is not a way that I can show you how to graph it, so I will try and explain it.

Step-by-step explanation:

(1,1)

^ ^ y-axis

x-axis

You are just going right however many, and then up however many it says.

So if it's (1,1) you will go right one space, and then up one space.

Once you have all of your points on the graph, you put a line through them.

Hope this helps! :)

The product of w and 4

Answers

A. 4/w

B. 4 + w

C. 4 – w

D. 4w

The transitive property holds true for similar figures.Always
Sometimes
Never

Answers

Answer: Always.

Step-by-step explanation:

The transitive property holds true for similar figures always because similar figures have similar shapes, the same angles and dimensions are proportional.

For example:- If figure 1 is similar to figure 2 then both have same shape and same angles and dimensions are proportional .

If figure 2 is similar to figure 3 then both have same shape and same angles and dimensions are proportional .

⇒ figure 1 is similar to figure 3 the both have same shape and same angles and dimensions are proportional as the figure 2 .

Thus the transitive property holds true for similar figures always.

i believe its always

ANSWERR HERE :) :0
ples

Answers

Answer:

Rotation, Transitions and Reflections because they don't change the size of the shape.

Answer:

Reflections, translations, and rotations

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