How many different ways can you solve a quadratic equation? List them. Create a trinomial that...

How many different ways can you solve a quadratic equation? List them.

Create a trinomial that can be factored and write it in standard form.

Factor x^2 – 7x + 10, 4x^2 – 81 and p (x) = 3x^3 – 12x

What key features of a quadratic graph can be identified and how are the graphs affected when constants or coefficients are added to the parent quadratic equations? Compare the translations to the graph of linear function. Create examples of your own to explain the differences and similarities.

A ball is kicked into the air and follows the path described by h(t)= – 4.9t^2 + 6t + 0.6, where t is the time in seconds and h is the height in meters above the ground. Find the maximum height of the ball. What value would you have to change in the equation if the maximum height of the ball is more than 2.4 meters?

Solutions

Expert Solution

(answer 1)

There are four methods for solving a quadratic equation-

a. the quadratic formula

b. factoring

c. completing the square

d. factor by grouping

(answer 2)

a polynomial with 3 terms is a trinomial. example- x²+5x+6 which can be transformed into (x+3)(x+2)

(answer 3)

(answer 4)

key features of quadratic graph are the zeroes(x-intercept and also known as roots), the y-intercept, axis of symmetry and the vertex.

(answer 5)

milcah answered 1 year ago

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