Parabolas

Which of the following is a quadratic equation?

•     3s² + s –4                                            

•      2x – 1 = 5

• m² – 8m – 1 = 0                   

•    5y² + 4y  7

Given a, b, and c are real numbers and 𝑎 ≠ 0, which of the following is the standard form of   quadratic    equation?

• 𝑎𝑥² + 𝑏𝑥 + 𝑐 = 0  

• 𝑎 = 𝑏𝑥 + 𝑐

• 𝑎𝑥 + 𝑏 + 𝑐 = 0   

• 𝑎𝑥 + 𝑏² + 𝑐 = 0

What must be added to 𝑥² – 4𝑥 + _______ to make it a perfect square trinomial?

• 2

• 4

• 8

• 16

What is the standard form of the quadratic equation 2x + (x – 4)(x + 1) = 9?

• x² – x – 13 = 0          

• x² + x + 13 = 0

•    x² – 5x + 5 = 0

• x² – 5x – 13 = 0

Solve for the value of x in equation  4𝑥² + 8𝑥 = 0.

• 𝑥 = 0, −2 

• x= 2, −2 

• 𝑥 = 1, 2         

• x = −1, −2

The equation y = a(x + h)^2 + k is the equation of a parabola written in ________ form.

• Standard

• General

The equation y = ax^2 + bx + c is the equation of a parabola written in _________ form.

• Standard

• General

If the sign of the leading coefficient, a, is negative (a < 0), the parabola opens _______.

• Downward

• Upward

If the sign of the leading coefficient, a, is positive (a > 0), the parabola opens _______.

• Downward

• Upward

Read the following text and answer the following questions on the basis of the same. Due to heavy storm an electic wire got bent as shown in the figure. it followed aa mathematical shape. Answer the following questions below:- 1. Name the shape in which wire is bent

• Spiral

• Ellipse

• Linear

• Parabols