Question

Determine the coordinates of the x-intercepts and the y-intercepts of the parabola y = x^2 - 2x - 3

likes

339 views

Answer to a math question Determine the coordinates of the x-intercepts and the y-intercepts of the parabola y = x^2 - 2x - 3

$Expert avatar$

Adonis

4.4

106 Answers

1. To find the x-intercepts, we set

y = 0

and solve the equation:

0 = x^2 - 2x - 3

2. Factor the quadratic equation:

(x - 3)(x + 1) = 0

3. Solve for

x = 3

x = -1

4. The x-intercepts are

(3, 0)

and

(-1, 0)

.

5. To find the y-intercept, set

x = 0

y = 0^2 - 2(0) - 3

y = -3

6. The y-intercept is

(0, -3)

.

Answer: The coordinates of the x-intercepts are

(3, 0)

and

(-1, 0)

. The coordinate of the y-intercept is

(0, -3)

Frequently asked questions (FAQs)

What is the equation of an ellipse with a major axis along the x-axis, center at (h, k), semi-major axis a, and semi-minor axis b?

Math question: Determine the value of x in log(x) = 5.

Math question: What is the derivative of the integral of f(x) from a to b with respect to x?

New questions in Mathematics

12-6x=4x+2

String x = 5 Int y=2 System.out.println(x+y)

I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.

If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?

3x+5y=11 2x-3y=1

Derivative of x squared

7/6-(-1/9)

Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.

logy/logx + logz/logy + logt/logz = 8x².t x=?

Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane

7. Find the equation of the line passing through the points (−4,−2) 𝑎𝑛𝑑 (3,6), give the equation in the form 𝑎𝑥+𝑏𝑦+𝑐=0, where 𝑎,𝑏,𝑐 are whole numbers and 𝑎>0.

The physician orders 15mg of tramadol(liquid). On hand is 30mg/2mL vials. How many mL will the MA administer?

Is -11/8 greater than or less than -1.37?

Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A × B| = |C × D|

Two minus log 3X equals log (X over 12)

A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625

A factory produces glass for windows. The thickness X of an arbitrarily selected pane of glass is assumed to be Normally distributed with expectation μ = 4.10 and standard deviation σ = 0.04. Expectation and Standard deviation is measured in millimeters. What is the probability that an arbitrary route has a thickness less than 4.00 mm?

Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DG⊥BG. If the area of the quadrilateral AGBD is equal to s, show that AC·BD≥2·s.

Write the inequality in the form of a<x<b. |x| < c^2

A group of 17 people spent 9 days on vacation and spent R$776.34 on barbecue meat and the bill needs to be divided as follows: 6 people stayed for 9 days, 7 people stayed for 4 days, and 2 people stayed for 5 days and 2 people stayed 3 days, how much does each group have to pay for the days they stayed?

Determine the coordinates of the x-intercepts and the y-intercepts of the parabola y = x^2 - 2x - 3

Answer to a math question Determine the coordinates of the x-intercepts and the y-intercepts of the parabola y = x^2 - 2x - 3

You might be interested in