1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nlexa [21]
3 years ago
15

Find the equation of the quadratic function with zeros 10 and 14 and vertex at (12, -8).

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0
We'll do the same we did on the previous one, using the vertex form.

our vertex is at (12, -8) thus h = 12, k = -8

and our zeros are 10, 0 and 14,0, so.. .we'll use say  hmm (10,0) to get the "a" coefficient.

\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex\ (12,-8)\  
\begin{cases}
h=12\\
k=-8
\end{cases}\implies y=a(x-12)^2-8
\\\\\\
\textit{we also know that }
\begin{cases}
y=0\\
x=10
\end{cases}\implies 0=a(10-12)^2-8
\\\\\\
8=a(-2)^2\implies 8=4a\implies \boxed{2=a}
\\\\\\
thus\qquad \boxed{y=2(x-12)^2-8}
You might be interested in
Can the common ratio of geometric sequence be equal to 0?
NeTakaya

Answer:

No it cant

Step-by-step explanation:

it cant

8 0
3 years ago
Today, Heather is 9 years and 3 months old, How old was she 2 years and 6 months ago?
wlad13 [49]
Heather will be 6 and 7 months old
7 0
3 years ago
Read 2 more answers
The centers for disease control and prevention reported that 25% of baby boys 6-8 months old in the united states weigh more tha
melisa1 [442]

Answer:

0.1971 ( approx )

Step-by-step explanation:

Let X represents the event of weighing more than 20 pounds,

Since, the binomial distribution formula is,

P(x)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

Given,

The probability of weighing more than 20 pounds, p = 25% = 0.25,

⇒ The probability of not weighing more than 20 pounds, q = 1-p = 0.75

Total number of samples, n = 16,

Hence, the probability that fewer than 3 weigh more than 20 pounds,

P(X

=^{16}C_0 (0.25)^0 (0.75)^{16-0}+^{16}C_1 (0.25)^1 (0.75)^{16-1}+^{16}C_2 (0.25)^2 (0.75)^{16-2}

=(0.75)^{16}+16(0.25)(0.75)^{15}+120(0.25)^2(0.75)^{14}

=0.1971110499

\approx 0.1971

3 0
3 years ago
Which shape is similar to shape x?
alexandr1967 [171]

Answer:

<h2>the c one</h2>

Step-by-step explanation:

<h2>hope it will help</h2>
6 0
3 years ago
Read 2 more answers
Find the distance between the points -6.2 and -9.8.Show your work for full credit.
jolli1 [7]

Answer:

it is 3.6

Step-by-step explanation:

it's in the pictures below.

4 0
3 years ago
Other questions:
  • Which part of the cell holds genetic information in the molecule DNA?
    14·2 answers
  • Two angles are supplementary. The first angle measures 40°. What's the measurement of the second angle?
    15·2 answers
  • I need help with this question on USA Test Prep
    14·2 answers
  • -2 &gt; m/6 - 7 whats The answer?
    15·1 answer
  • the area of a rectangle is 20 square feet. if a scale factor of 3 is applied to the rectangle to form a new rectangle, what will
    5·2 answers
  • Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy
    7·1 answer
  • Pls help me I need this now pls
    15·2 answers
  • Ill mark brainlist plss help
    11·2 answers
  • Find m Round to the nearest degree.<br> B<br> 7<br> C<br> 13<br> 9<br> A
    9·1 answer
  • Write the number for fourteen million eighty thousand.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!