1. A. (x+2)^2−4=0
2. A. The vertex is located at (1,9) and the axis of symmetry is at x=1
3. D. f(x)=2(x+1)^2−4
4. C. f(x)=1/2(x-3) ^2-4
5. B. The equation (x+4)^2−7=0 is the result of setting f(x)=0 and completing the square.
1. Let f(x)=x^2+4x Which equation among the following is the correct result after setting f(x) equal to 0 and completing the square?.
A. (x+2)^2−4=0
B. (x−2)^2+4=0
C. (x−2)^2−4=0
D. (x+2)^2+4=0
2. The equation (x−1)^2−9=0 is obtained after setting a function f(x) equals 0 and completing the square. What is the vertex and axis of symmetry for f(x)?
A. The vertex is located at (1,9) and the axis of symmetry is at x=1
B. The vertex is located at (1,−9) and the axis of symmetry is at x=1 .
C. The vertex is located at (1,−9) and the axis of symmetry is at x=−1 .
D. The vertex is located at (−1,−9) and the axis of symmetry is at x=−1
3. Write the quadratic function f(x)=2x^2+4x−3
A. f(x)=(x+1)^2−4
B. f(x)=2(x+1)^2−5
C. f(x)=2(x−1)^2−5
D. f(x)=2(x+1)^2−4
4. Which function among the following has an axis of symmetry at x=3 and vertex at (3, 4)
A. f(x)=2(x-3) ^2+4
B. f(x)=1/2(x+3) ^2-4
C. f(x)=1/2(x-3) ^2-4
D. f(x)=-2(x-3) ^2+4
5. Which of the following statements is true about the quadratic function f(x)=x^2+8x−9
A. The vertex is located at (−4,−25) .
B. The equation (x+4)^2−7=0 is the result of setting f(x)=0 and completing the square.
C. The axis of symmetry is at x=4
D. The parabola created by f(x) opens downard.
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