Answer:
1. y=ax^2+bx+c, where a,b, and c are real numbers and a doesn't equal zero
2. Parabola
3. Opens upward
4. Opens downward
5. Vertex
6. Axis of Symmetry
7. Zeros, roots, or x-intercepts
8. You are already given the function so
Step 1: FInd Axis of Symmetry
Equation for Axis of Symmetry: x= - b/2a
Step 2: Find Vertex
- The vertex will be on the Axis of Symmetry, so plug in x then find y.
Equation for Vertex: Ex. The vertex is (-5) which is x now we find y by plugging in -5 whenever we see an X. f(x) = -(-5)^2 - 10(-5)-25=0 our vertex would be (-5,0)
Step 3: Draw your coordinates plane and "dash in" the axis of symmetry. Then plot your vertex
Step 4: Plot your y-intercept and the point symmetrical to it. The y-intercept is "<em>c</em>"
Step 5: Find at least other point on the parabola and draw the curve.
The 4 is in the ten thousand place so since the 3 is less than 5, the four stays the same. Therefore, 540,000 is your answer.
So to get a line parallel to this one you only have to change the y intercept of the first equation. Using that, an equation that represents a line parallel to the first is y = 3x + 7. Hope this helps!
<u>Answer: B: Y + 5 = 2x </u>
Step-by-step explanation:
<em>I will provide you a graphed image below.</em>
1) Plug In the numbers using an online graph; preferably desmos
As you can see the purple line which is ( y + 5 = 2x ) passes through point
( 0,-5 ) as well as slope 2 ( blue line ).
I know that Y + 5 = 2x is the correct answer by plugging in all of the other equations given to me, Y + 5 = 2x is the only one that was correct.
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Answer:
See below
Step-by-step explanation:
√120 is irrational since it cannot be written as a fraction
√36 is rational because it can be written as 6 or -6 which are both rational
7 is rational because it can be written as a fraction (ex. 7/1, 14/2, 21/3, etc.)
10 is rational because it can be written as a fraction (ex. 10/1, 20/2, 30/3, etc.)
148 is rational because it can be written as a fraction (ex. 148/1, 296/2, 444/3, etc.)
781 is rational because it can be written as a fraction (ex. 781/1, 1562/2, 2343/3, etc.)