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BigorU [14]
3 years ago
8

Y= a(x-3)^2-1. What is the value of a?

Advanced Placement (AP)
1 answer:
just olya [345]3 years ago
8 0
Let's solve for a.<span>y=<span><span>a<span><span>(<span>x−3</span>)</span>2</span></span>−1</span></span>Step 1: Flip the equation.<span><span><span><span><span>a<span>x2</span></span>−<span><span>6a</span>x</span></span>+<span>9a</span></span>−1</span>=y</span>Step 2: Add 1 to both sides.<span><span><span><span><span><span>a<span>x2</span></span>−<span><span>6a</span>x</span></span>+<span>9a</span></span>−1</span>+1</span>=<span>y+1</span></span><span><span><span><span>a<span>x2</span></span>−<span><span>6a</span>x</span></span>+<span>9a</span></span>=<span>y+1</span></span>Step 3: Factor out variable a.<span><span>a<span>(<span><span><span>x2</span>−<span>6x</span></span>+9</span>)</span></span>=<span>y+1</span></span>Step 4: Divide both sides by x^2-6x+9.<span><span><span>a<span>(<span><span><span>x2</span>−<span>6x</span></span>+9</span>)</span></span><span><span><span>x2</span>−<span>6x</span></span>+9</span></span>=<span><span>y+1</span><span><span><span>x2</span>−<span>6x</span></span>+9</span></span></span><span>a=<span><span>y+1</span><span><span><span>x2</span>−<span>6x</span></span>+9</span></span></span>Answer:<span>a=<span><span>y+1</span><span><span><span>x2</span>−<span>6x</span></span>+<span>9</span></span></span></span>
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