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
bixtya [17]
3 years ago
7

Create a unique parabola in the pattern f(x)=(x-a)(x-b). Pick integers other than one or zero for a and b. let a= 1 and b= 2 f(x

)= (x-1)(x-2) = x²-2x-x+2 = x²-3x+2 (this is the one I have made and just need help with the other parts) Describe the direction of the parabola. (Hint: How can you tell if a parabola will open upwards or downwards) Determine the y-intercept. (Hint: Using your equation, set the x’s equal to zero and solve for y) Determine the zeros. (Hint: Using your equation, set y = zero, factor, and solve for x.
Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

a) parabola opens upwards  

b) y-intercept    y = 2

c) x₁ = 1         x₂  =  2

Step-by-step explanation:

y = x² - 3x + 2

This  parabola is open upwards since the coefficient of x² is positive (1)

b) y-intercept is when  x = 0 then

y = (0)² - 3*(0) + 2

y-intercept    y = 2

to determine zeros,  we can proceed as follows

x² - 3x  + 2 = 0

Factoring that xpression

( x -1 ) * ( x - 2 ) = 0

Then either   x- 1  =  0   and    x₁ = 1        or

x  -  2  =  0      and       x₂  =  2

You might be interested in
M Explain why this is true<br> PLEASE HELP!!!
borishaifa [10]

Answer:

The given statement is true because the person they did their steps correctly

a) Locate a point C so that ABC is a right triangle with m ACB ∠ = ° 90 and the measure of one of the acute angles in the triangle is 45° .

b) Locate a point D so that ABD is a right triangle with m ADB ∠ = ° 90 and

the measure of one of the acute angles in the triangle is30° .

c) Locate a point E so that ABE is a right triangle with m AEB ∠ = ° 90 and

the measure of one of the acute angles in the triangle is15° .

d) Find the distance between point C and the midpoint of segment AB .

Repeat with points D and E.

e) Suppose F is a point on the graph so that ABF is a right triangle

withm AFB ∠ =° 90 . Make a conjecture about the point F.

3 0
3 years ago
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
Whitepunk [10]

The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.

<h3>How do the Sides of Similar Triangles Relate?</h3>

The corresponding sides of similar triangles have ratios that are equal to each other.

The corresponding sides and their ratios are:

4/12 = 1/3

5/15 = 1/3

Therefore, the ratio of their sides in its lowest term is:

C. 4/12 = 5/15 = 1/3

Learn more about the similar triangles on:

brainly.com/question/2644832

#SPJ1

4 0
2 years ago
Can some pls help me find the slope of this line i really really need help​
Damm [24]

Answer:

Slope = Rise over Run

Rise = 2

Run = 3

Slope = 2/3

Let me know  if this helps!

4 0
3 years ago
Find the perimeter of the triangle using the dimensions shown given below. (a = 57.36 yards; c = 83 yards; h = 54 yards) *
marishachu [46]

Answer:

I'm glad you asked!

Step-by-step explanation:

54 +83+57.36+83 = 211.42

7 0
3 years ago
What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!
Delicious77 [7]
ANSWER
f(x)= \frac{1}{4} {(x - 1)}^{2}

EXPLANATION

Since the directrix is
y = - 1

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

(1,1)

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

{(x - h)}^{2} = 4p(y - k)
where
(h,k)

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
(1, - 1)

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
h = \frac{1 + 1}{2} = 1

and
k = \frac{ - 1 + 1}{2} = 0

The equation of the parabola now becomes,

(x - 1) ^{2} = 4p(y - 0)

|p| = 1

Thus, the distance between the vertex and the directrix.

This means that,

p = - 1 \: or \: 1

Since the parabola opens up, we choose
p = 1
Our equation now becomes,

{(x - 1)}^{2} = 4(1)(y - 0)

This simplifies to
{(x - 1)}^{2} = 4y

or

y = \frac{1}{4} {(x - 1)}^{2}

This is the same as,

f(x)= \frac{1}{4} {(x - 1)}^{2}

The correct answer is D .
4 0
3 years ago
Other questions:
  • I need help with this question
    8·2 answers
  • Policeman A and Policeman B hand out 70 speeding tickets in a month.
    7·1 answer
  • 30/19 as a mixed number
    10·2 answers
  • Please help please help
    5·1 answer
  • Which is the correct label for the angle
    7·1 answer
  • PLEASE HELP ASAPPP!!! tank youuu
    10·2 answers
  • 511 ÷ 7 pls show how you got it
    13·1 answer
  • Please please solve this quickly. I've tried many things before, and I have no clue what the answer is.
    10·1 answer
  • Here a subtraction problem that has been solved incorrectly 21-9=11 what is the correct way​
    9·1 answer
  • WILL MARK BRAINLIEST
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!