Let's solve your equation step-by-step.<span><span><span><span> x2</span>+<span>5x</span></span>−6</span>=0</span><span />
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</span>Step 1: Factor left side of equation.<span><span><span> (<span>x−1</span>)</span><span>(<span>x+6</span>)</span></span>=0</span>
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</span>Step 2: Set factors equal to 0.<span><span><span> x−1</span>=<span><span><span><span><span>0</span> or </span></span>x</span>+6</span></span>=0</span><span>
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</span><span><span>x=<span><span><span><span>1</span> or </span></span>x</span></span>=<span>−<span>6</span></span></span>
Idk honestly, haven’t cryied since I ate a warhead
g(x) = (x - 3)² - 4
given f(x) is shifted a units horizontally to the right → f(x) → f(x - a)
If f(x) is shifted by a units horizontally left → f(x) → f(x + a)
If f(x) is shifted by b units vertically up → f(x) → f(x) + b
If f(x) is shifted by b units vertically down → f(x) → f(x) - b
The vertex (0, 0) of f(x) has shifted to (3, -4)
that is 3 units horizontally to the right and 4 units vertically down
hence g(x) = (x - 3)² - 4
