Mathematics, 21.01.2020 16:31 naruto63

Suppose a parabola has an axis of symmetry at x = –7, a maximum height of 4, and also passes through the point (–6, 0). write the equation of the parabola in vertex form.

Answers: 3

Show answers

Answers

Axis of symmetry at x=-7, meaning that the x value of the vertex is at x=-7
means that it is a function
max height is 4
means that the y value of the vertex is 4
passes through the point (-6,0) or one point is x=-6, y=0

in the form
y=a(x-h)^2+k
(h,k) is vertex

we know that vertex is at (-7,4)
y=a(x-(-7))^2+4
y=a(x+7)^2+4
find a by plugging in the point (-6,0) aka subsitutin -6 for x and 0 for y
0=a(-6+7)^2+4
0=a(1)^2+4
0=a+4
-4=a

therefor the equation is
y=-4(x+7)^2+4

Answer from: Aianyxx

The vertex form of a quadratic equation:
y = a(x - h)^2+ k

Axis of symmetry is said to be x=-7. This means that the x value of the vertex is at x=-7. The maximum height is 4 thus the y value of the vertex is 4.

in the form
y=a(x-h)^2+k
(h,k) represents the vertex

Thus, the equation becomes,
y=a(x-(-7))^2+4
y=a(x+7)^2+4

We obtain a by substituting the point (-6,0) for x and y in the equation.
0=a(-6+7)^2+4
0=a(1)^2+4
0=a+4
a = -4

Therefore, the equation in vertex form is:
y=-4(x+7)^2+4

Answer from: Quest

drive more conversions to your website

conversions are the outcome of your efforts. when a visitor sign up for any newspaper, or fill any form to order a specific product or when your page is shared on social media, all such attempts mean conversions of a website. whenever your desired action is fulfilled, the conversion rate of your website will increase. this increase in your conversion rate will prove that your website is going well. it also confirms that the quality of your website’s marketing was really good.drive more conversion to your website drive more conversions to your website

step-by-step explanation:

Answer from: Quest

Answer: d. 48 step-by-step explanation: i used a calculator so i am 100% sure these are right mark as brainliest?

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 16:00, rosehayden21

Aswim teacher sells lesson packages. the best deal has the highest ratio of lessons to total cost. swim lesson packagesnumber of lessons total cost$10$4010 1 $8015$80which package is the best deal? l lesson for $105 lessons for $4010 lessons for $8015 lessons for $80mark this and returnsave and exit

Answers: 3

continue

Mathematics, 21.06.2019 16:00, taehyungg

Which fraction is not equivalent to 8/12 a. 2/3 b. 24/36 c. 4/10 d. 6/10

Answers: 1

continue

Mathematics, 21.06.2019 17:30, kathiewallentin1767

How do i make someone brainliest? (if you answer me, i might be able to make you brainliest! )

Answers: 1

continue

Mathematics, 21.06.2019 20:00, ElizabethF

Aball is dropped from a height of 10m above the ground. it bounce to 90% of its previous height on each bounce. what is the approximate height that the ball bounce to the fourth bounce?

Answers: 2

continue

You know the right answer?

Suppose a parabola has an axis of symmetry at x = –7, a maximum height of 4, and also passes through...