My Equation
Parent Function
y = x^2
Desmos graph (Red: Mine / Blue: Parent function)
My vertex (-5,-7)
Parent function vertex (0,0)
Paragraph
The significance of a, explains if the parabola is either wider or narrower and also the direction of which way the parabola will open. When a is negative, the parabola opens down. But when the a is positive, the parabola opens up. Since the a of my parabola is positive, my parabola opened up just like like the parent function. Also, a positive value of a closer to zero makes a wider parabola. The significance of h, explains whether the parabola will shift right or left. According to the equation formula, it says (x-h), meaning that if h is positive, your parabola will shift to the right and when it’s negative your parabola will shift to the left. Since the h of my parabola is (x+5), my parabola shifted 5 times to the left. Last but not least, the significance of k tells whether the parabola shifts up or down. When the k is positive the parabola shifts up and when the k is negative the parabola shifts down. The K of my parabola was -7 so my parabola shifted -7 times downwards.
Self assessment
- I wrote down my equation and family function. Then I put it on desmos to compare both graphs.
2. I used vertex, parabola, negative, positive, family function to show my understanding.
3. I used desmos because it’s more accurate than my hand drawn graph and it’s easier to do.