Let's solve for a.y=a(x−3)2−1Step 1: Flip the equation.ax2−6ax+9a−1=yStep 2: Add 1 to both sides.ax2−6ax+9a−1+1=y+1ax2−6ax+9a=y+1Step 3: Factor out variable a.a(x2−6x+9)=y+1Step 4: Divide both sides by x^2-6x+9.a(x2−6x+9)x2−6x+9=y+1x2−6x+9a=y+1x2−6x+9Answer:a=y+1x2−6x+9