FUNGSI KUADRAT

Bentuk Umum fungsi kuadrat adalah...

• f(x) = ax² + x

• f(x) = x² + c

• f(x) = bx + c

• f(x) = ax² + bx + c

Answer explanation

The correct answer is f(x) = ax^2 + bx + c because it represents the general form of a quadratic function with coefficients a, b, and c.

Nilai a dari f(x) = 2x² + 3x - 8 adalah...

• 3

• 2

• -8

• 13

Answer explanation

The value of a from f(x) = 2x^2 + 3x - 8 is 2 because the coefficient of x^2 is 2, leading to a=2.

Nilai b dari f(x) = x² - x + 2

• 1

• x

• -1

• 2

Answer explanation

To find the value of b, set f(x) = 0 and solve for x. x^2 - x + 2 = 0. Using the quadratic formula, x = (-(-1) ± sqrt((-1)^2 - 4*1*2)) / 2*1. x = (-(-1) ± sqrt(1 - 8)) / 2. x = (-(-1) ± sqrt(-7)) / 2. x = (-(-1) ± i*sqrt(7)) / 2. x = (1 ± i*sqrt(7)) / 2. Therefore, b = -1.

Nilai c dari f(x) = x² - 4x + 5

• 5

• 4

• -5

• -4

Answer explanation

To find the value of c, substitute x=0 into f(x)=x^2-4x+5. f(0)=0^2-4(0)+5=5. Therefore, c=5.

Rumus mencari Xp (X dari titik puncak) adalah...

Answer explanation

To find the X-coordinate of the vertex (Xp), we use the formula -b/(2a). Therefore, the correct choice is -b/(2a).

Rumus Mencari Yp (Y dari titik puncak fungsi kuadrat adalah...

Answer explanation

The correct choice is -\frac{D}{4a} as it represents the formula to find the y-coordinate of the vertex of a quadratic function

D adalah determinan, pada fungsi kuadrat rumusnya adalah...

• - 4ac

• b²

• 4ac - b²

• b² - 4ac

Answer explanation

The correct formula for the determinant in a quadratic function is b^2 - 4ac, as it involves the coefficients of the quadratic equation.

Xp pada fungsi kuadrat sama dengan...

• Nilai Minimum

• Sumbu Simetris

• Nilai Maksimum

• Semua benar

Answer explanation

The correct answer is 'Sumbu Simetris' because Xp pada fungsi kuadrat merupakan titik tengah simetri fungsi kuadrat.

Yp pada fungsi kuadrat sama dengan...

• Nilai Maksimum/Minimum

• Sumbu Simetris

• Nilai Bantu

• Titik Sudut

Answer explanation

The correct answer is 'Nilai Maksimum/Minimum' because Yp in a quadratic function represents the maximum/minimum value of the function.

Titik potong sumbu Y pada fungsi f(x) = x² - 3x - 4 adalah

• (0,4)

• (4,0)

• (0,-4)

• (-4,0)

Answer explanation

The point of intersection with the Y-axis for the function f(x) = x^2 - 3x - 4 is (0,-4), as the y-coordinate is the constant term in the function.