Rewrite the equation in standard form and identify the conic:   \(y^2 + 4y – 2x + 10 = 0\)

Which equation represents a reflection of \( f(x) = \vert x \vert \) across the x-axis followed by a vertical shift down 4 units?

A car rental service charges \$50 per day. If a customer has a budget of \$300, for how many days can the car be rented?

A sequence begins at 640 and is multiplied by \(\frac{1}{4}\) each step.   Which explicit rule models this situation?

Which \( x \)-values are solutions to the function shown in the graph? The x-axis spans from negative 10 to 10, and the y-axis spans from below 0 to above 40. The x-axis has a scale of 5 in increments of 1 and the y-axis has a scale of 20 in increments of 5. The red polynomial function has a local minimum around (negative 3, 0) and a local maximum near (1.5, 50). The function starts from positive infinity, decreases to the local minimum, rises to the local maximum, and then falls towards negative infinity, extending out of view at both ends.

Which of the following statements about \( P(x) = x^3 + x^2 – 4x – 4 \) are true?

Which transformations to are represented in the graph? “The x-axis spans from negative 10 to 10, and the y-axis spans from negative 5 to just above 15. Both axes have a scale of 5 in increments of 1. The purple V-shaped function consists of two linear segments meeting at a sharp vertex at the coordinate (negative 2, 1). The left segment is in the second quadrant with a negative slope, passing through the point (negative 5, 13). The right segment spans the second and the first quadrants, with a positive slope, passing through the y-axis at (0, 9). The function is symmetric around the vertical line x= negative two and extends out of view in both directions. “

A sequence is defined by the explicit rule \(a_n = 15n + 2\).   Which recursive rule represents the same sequence?

Which is one of the transformations to represented in the graph? The x-axis spans from negative 10 to above 10, and the y-axis spans from below zero to above 10. Both axes have a scale of 10 in increments of 2. The purple V-shaped function consists of two linear segments meeting at a sharp vertex at the coordinate (3, 0). The left segment has a negative slope, decreasing from the second quadrant towards the vertex, with a y-intercept of (0, 3). The right segment has a positive slope, increasing after the vertex in the first quadrant. The function appears wider than a standard V-shape, indicating a more gradual slope change.

Which function matches the graph? The x-axis spans from just below zero to above 4, and the y-axis spans from just below zero to above 4. Both axes have a scale of 2 in increments of 0.5. The purple parabolic function opens upward and has a minimum vertex at (2, 1). The parabola is symmetric around the vertical line passing through the vertex. It passes through the coordinates (1, 4) and (3, 4) and extends out of view.