The standard form of the quadratic equation is ax^2 + bx + c. In vertex form, it's y = a(x – h)2 + k.
The graph of a quadratic equation is a parabola, which looks like a u. If <em>a</em> is negative then it's an upside down u.
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Answer:
Step-by-step explanation:
Adding the same number to both sides of the equation is an acceptable move. The addition property of equality tells Grace that the value of the variable will remain unchanged by such a move.
Her new equation would be ...
2x +20 +10 = 15 +10
2x +30 = 25 . . . . the result of Grace's move
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<em>Additional comment</em>
There may be very good reasons why Grace would want to do that. If solving the equation is Grace's intent, that move would be counterproductive. For the purpose of solving the equation, it would be more productive to either subtract 20 from both sides, or divide both sides by 2. These steps would give, respectively, ...
2x = -5
x +10 = 7.5
the answer would be 8.
2 times 8 = 16 minus 5 = 11
Answer:
y=3x+1, or the second option
Step-by-step explanation:
We can see on the graph the line converges with the y-axis at (0, 1), so we can cross out the last two answers. Then we can also see that the slope is 3 on the graph and an equation that has x^2 must be a parabola. The answer is then narrowed down to the second option.
Answer:
=12y+18
Step-by-step explanation:
=(3)(6+4y)
=(3)(6)+(3)(4y)
=18+12y
=12y+18
