PLEASE HELP I REALLY DONT UNDERSTAND IT :( WILL MARK BRAINLIEST FOR CORRECT AND IN-DEPTH ANSWERS :)
Solve the following Quadratic Equations, then sketch.
Steps
1) set y=0 (This ensures our x's will be x-intercepts)
2) Factor the Quadratic Equation into 2 parentheses, ( )( )
3) Interpret factors to get x-intercepts
4) Sketch the parabola

1) y=x^2+2x-15 2) y=x^2+5x+6

3)y=x^2-6x-40 4) y=x^2-8x+12

Step-by-step explanation:

1) x² + 2x - 15 = 0

<=> x² - 3x + 5x - 15 =0

<=> (x+5)(x - 3) = 0

<=> x = -5 or x = 3

2) x² + 5x + 6 =0

<=> x² + 2x + 3x + 6 = 0

<=> (x+3)(x+2) = 0

=> x = -3 or x = -2

3) x² - 6x - 40 = 0

<=> x² - 10x + 4x -40 = 0

<=> (x+4)(x-10) = 0

<=> x = -4 or x =10

4) x² - 8x + 12 =0

<=> x² -2x -6x + 12 = 0

<=> (x-2)(x-6) = 0

=> x = 2 or x = 6

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2